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Finding the Third Proportional to 48,869,289 and 71,808,036

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Solution

The third proportional to 48,869,289 and 71,808,036 is: 105,513,997.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,869,289 : 71,808,036 = 71,808,036 : x
  2. Step 2: Convert to fraction form
    48,869,289/71,808,036 = 71,808,036/x
  3. Step 3: Cross multiply
    48,869,289x = 71,808,036 × 71,808,036
  4. Step 4: Simplify right side
    48,869,289x = 5,156,394,034,177,296
  5. Step 5: Solve for x
    x = 5,156,394,034,177,296/48,869,289
  6. Step 6: Final answer
    x = 105,513,997.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.