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Finding the Third Proportional to 53,866,733 and 83,578,957

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Solution

The third proportional to 53,866,733 and 83,578,957 is: 129,680,076.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,866,733 : 83,578,957 = 83,578,957 : x
  2. Step 2: Convert to fraction form
    53,866,733/83,578,957 = 83,578,957/x
  3. Step 3: Cross multiply
    53,866,733x = 83,578,957 × 83,578,957
  4. Step 4: Simplify right side
    53,866,733x = 6,985,442,053,207,849
  5. Step 5: Solve for x
    x = 6,985,442,053,207,849/53,866,733
  6. Step 6: Final answer
    x = 129,680,076.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.