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Finding the Third Proportional to 369,451,098 and 797,478,804

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Solution

The third proportional to 369,451,098 and 797,478,804 is: 1,721,398,166.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,451,098 : 797,478,804 = 797,478,804 : x
  2. Step 2: Convert to fraction form
    369,451,098/797,478,804 = 797,478,804/x
  3. Step 3: Cross multiply
    369,451,098x = 797,478,804 × 797,478,804
  4. Step 4: Simplify right side
    369,451,098x = 635,972,442,829,270,400
  5. Step 5: Solve for x
    x = 635,972,442,829,270,400/369,451,098
  6. Step 6: Final answer
    x = 1,721,398,166.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.