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Finding the Third Proportional to 616,070,632 and 1,452,852,743

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Solution

The third proportional to 616,070,632 and 1,452,852,743 is: 3,426,199,827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,070,632 : 1,452,852,743 = 1,452,852,743 : x
  2. Step 2: Convert to fraction form
    616,070,632/1,452,852,743 = 1,452,852,743/x
  3. Step 3: Cross multiply
    616,070,632x = 1,452,852,743 × 1,452,852,743
  4. Step 4: Simplify right side
    616,070,632x = 2,110,781,092,842,624,000
  5. Step 5: Solve for x
    x = 2,110,781,092,842,624,000/616,070,632
  6. Step 6: Final answer
    x = 3,426,199,827.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.