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Finding the Third Proportional to 8,945,383,927.50 and 19,461,549,987

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Solution

The third proportional to 8,945,383,927.50 and 19,461,549,987 is: 42,340,488,789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,945,383,927.50 : 19,461,549,987 = 19,461,549,987 : x
  2. Step 2: Convert to fraction form
    8,945,383,927.50/19,461,549,987 = 19,461,549,987/x
  3. Step 3: Cross multiply
    8,945,383,927.50x = 19,461,549,987 × 19,461,549,987
  4. Step 4: Simplify right side
    8,945,383,927.50x = 378,751,927,896,499,683,328
  5. Step 5: Solve for x
    x = 378,751,927,896,499,683,328/8,945,383,927.50
  6. Step 6: Final answer
    x = 42,340,488,789.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.