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Finding the Third Proportional to 431,838,656 and 932,487,940

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Solution

The third proportional to 431,838,656 and 932,487,940 is: 2,013,561,653.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,838,656 : 932,487,940 = 932,487,940 : x
  2. Step 2: Convert to fraction form
    431,838,656/932,487,940 = 932,487,940/x
  3. Step 3: Cross multiply
    431,838,656x = 932,487,940 × 932,487,940
  4. Step 4: Simplify right side
    431,838,656x = 869,533,758,245,443,584
  5. Step 5: Solve for x
    x = 869,533,758,245,443,584/431,838,656
  6. Step 6: Final answer
    x = 2,013,561,653.56

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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.