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Finding the Third Proportional to 82,185,127 and 123,385,791

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Solution

The third proportional to 82,185,127 and 123,385,791 is: 185,240,979.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,185,127 : 123,385,791 = 123,385,791 : x
  2. Step 2: Convert to fraction form
    82,185,127/123,385,791 = 123,385,791/x
  3. Step 3: Cross multiply
    82,185,127x = 123,385,791 × 123,385,791
  4. Step 4: Simplify right side
    82,185,127x = 15,224,053,420,695,680
  5. Step 5: Solve for x
    x = 15,224,053,420,695,680/82,185,127
  6. Step 6: Final answer
    x = 185,240,979.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.