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Finding the Third Proportional to 616,070,634 and 1,452,852,748

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Solution

The third proportional to 616,070,634 and 1,452,852,748 is: 3,426,199,839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,070,634 : 1,452,852,748 = 1,452,852,748 : x
  2. Step 2: Convert to fraction form
    616,070,634/1,452,852,748 = 1,452,852,748/x
  3. Step 3: Cross multiply
    616,070,634x = 1,452,852,748 × 1,452,852,748
  4. Step 4: Simplify right side
    616,070,634x = 2,110,781,107,371,151,616
  5. Step 5: Solve for x
    x = 2,110,781,107,371,151,616/616,070,634
  6. Step 6: Final answer
    x = 3,426,199,839.56

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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.