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Finding the Third Proportional to 48,451,979 and 72,713,405

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Solution

The third proportional to 48,451,979 and 72,713,405 is: 109,123,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,451,979 : 72,713,405 = 72,713,405 : x
  2. Step 2: Convert to fraction form
    48,451,979/72,713,405 = 72,713,405/x
  3. Step 3: Cross multiply
    48,451,979x = 72,713,405 × 72,713,405
  4. Step 4: Simplify right side
    48,451,979x = 5,287,239,266,694,025
  5. Step 5: Solve for x
    x = 5,287,239,266,694,025/48,451,979
  6. Step 6: Final answer
    x = 109,123,288.17

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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.