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Finding the Third Proportional to 1,204,436,256 and 1,841,272,255

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Solution

The third proportional to 1,204,436,256 and 1,841,272,255 is: 2,814,830,174.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,436,256 : 1,841,272,255 = 1,841,272,255 : x
  2. Step 2: Convert to fraction form
    1,204,436,256/1,841,272,255 = 1,841,272,255/x
  3. Step 3: Cross multiply
    1,204,436,256x = 1,841,272,255 × 1,841,272,255
  4. Step 4: Simplify right side
    1,204,436,256x = 3,390,283,517,032,784,896
  5. Step 5: Solve for x
    x = 3,390,283,517,032,784,896/1,204,436,256
  6. Step 6: Final answer
    x = 2,814,830,174.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.