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Finding the Third Proportional to 6,383,494,949,530.80 and 9,533,411,943,256.80

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Solution

The third proportional to 6,383,494,949,530.80 and 9,533,411,943,256.80 is: 14,237,646,304,789.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383,494,949,530.80 : 9,533,411,943,256.80 = 9,533,411,943,256.80 : x
  2. Step 2: Convert to fraction form
    6,383,494,949,530.80/9,533,411,943,256.80 = 9,533,411,943,256.80/x
  3. Step 3: Cross multiply
    6,383,494,949,530.80x = 9,533,411,943,256.80 × 9,533,411,943,256.80
  4. Step 4: Simplify right side
    6,383,494,949,530.80x = 90,885,943,279,831,418,044,153,856
  5. Step 5: Solve for x
    x = 90,885,943,279,831,418,044,153,856/6,383,494,949,530.80
  6. Step 6: Final answer
    x = 14,237,646,304,789.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.