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Finding the Third Proportional to 52,849,533 and 80,853,882

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Solution

The third proportional to 52,849,533 and 80,853,882 is: 123,697,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,849,533 : 80,853,882 = 80,853,882 : x
  2. Step 2: Convert to fraction form
    52,849,533/80,853,882 = 80,853,882/x
  3. Step 3: Cross multiply
    52,849,533x = 80,853,882 × 80,853,882
  4. Step 4: Simplify right side
    52,849,533x = 6,537,350,234,469,924
  5. Step 5: Solve for x
    x = 6,537,350,234,469,924/52,849,533
  6. Step 6: Final answer
    x = 123,697,407.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.