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Finding the Third Proportional to 655,416,864 and 1,403,802,672

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Solution

The third proportional to 655,416,864 and 1,403,802,672 is: 3,006,730,601.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,416,864 : 1,403,802,672 = 1,403,802,672 : x
  2. Step 2: Convert to fraction form
    655,416,864/1,403,802,672 = 1,403,802,672/x
  3. Step 3: Cross multiply
    655,416,864x = 1,403,802,672 × 1,403,802,672
  4. Step 4: Simplify right side
    655,416,864x = 1,970,661,941,914,339,584
  5. Step 5: Solve for x
    x = 1,970,661,941,914,339,584/655,416,864
  6. Step 6: Final answer
    x = 3,006,730,601.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.