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Finding the Third Proportional to 680,487,148.13 and 1,050,951,241.13

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Solution

The third proportional to 680,487,148.13 and 1,050,951,241.13 is: 1,623,099,737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,487,148.13 : 1,050,951,241.13 = 1,050,951,241.13 : x
  2. Step 2: Convert to fraction form
    680,487,148.13/1,050,951,241.13 = 1,050,951,241.13/x
  3. Step 3: Cross multiply
    680,487,148.13x = 1,050,951,241.13 × 1,050,951,241.13
  4. Step 4: Simplify right side
    680,487,148.13x = 1,104,498,511,222,177,920
  5. Step 5: Solve for x
    x = 1,104,498,511,222,177,920/680,487,148.13
  6. Step 6: Final answer
    x = 1,623,099,737.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.