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Finding the Third Proportional to 798,414,463 and 1,747,341,751

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Solution

The third proportional to 798,414,463 and 1,747,341,751 is: 3,824,083,024.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,414,463 : 1,747,341,751 = 1,747,341,751 : x
  2. Step 2: Convert to fraction form
    798,414,463/1,747,341,751 = 1,747,341,751/x
  3. Step 3: Cross multiply
    798,414,463x = 1,747,341,751 × 1,747,341,751
  4. Step 4: Simplify right side
    798,414,463x = 3,053,203,194,787,745,792
  5. Step 5: Solve for x
    x = 3,053,203,194,787,745,792/798,414,463
  6. Step 6: Final answer
    x = 3,824,083,024.89

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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.