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Finding the Third Proportional to 323,721,656 and 712,013,393

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Solution

The third proportional to 323,721,656 and 712,013,393 is: 1,566,046,207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,721,656 : 712,013,393 = 712,013,393 : x
  2. Step 2: Convert to fraction form
    323,721,656/712,013,393 = 712,013,393/x
  3. Step 3: Cross multiply
    323,721,656x = 712,013,393 × 712,013,393
  4. Step 4: Simplify right side
    323,721,656x = 506,963,071,811,372,480
  5. Step 5: Solve for x
    x = 506,963,071,811,372,480/323,721,656
  6. Step 6: Final answer
    x = 1,566,046,207.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.