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Finding the Third Proportional to 339,720,642 and 743,026,900

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Solution

The third proportional to 339,720,642 and 743,026,900 is: 1,625,126,371.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,720,642 : 743,026,900 = 743,026,900 : x
  2. Step 2: Convert to fraction form
    339,720,642/743,026,900 = 743,026,900/x
  3. Step 3: Cross multiply
    339,720,642x = 743,026,900 × 743,026,900
  4. Step 4: Simplify right side
    339,720,642x = 552,088,974,123,609,984
  5. Step 5: Solve for x
    x = 552,088,974,123,609,984/339,720,642
  6. Step 6: Final answer
    x = 1,625,126,371.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.