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Finding the Third Proportional to 427,741,531 and 916,872,727

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Solution

The third proportional to 427,741,531 and 916,872,727 is: 1,965,335,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,741,531 : 916,872,727 = 916,872,727 : x
  2. Step 2: Convert to fraction form
    427,741,531/916,872,727 = 916,872,727/x
  3. Step 3: Cross multiply
    427,741,531x = 916,872,727 × 916,872,727
  4. Step 4: Simplify right side
    427,741,531x = 840,655,597,516,416,512
  5. Step 5: Solve for x
    x = 840,655,597,516,416,512/427,741,531
  6. Step 6: Final answer
    x = 1,965,335,457.49

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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.