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Finding the Third Proportional to 48,869,286 and 71,808,031

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Solution

The third proportional to 48,869,286 and 71,808,031 is: 105,513,989.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,869,286 : 71,808,031 = 71,808,031 : x
  2. Step 2: Convert to fraction form
    48,869,286/71,808,031 = 71,808,031/x
  3. Step 3: Cross multiply
    48,869,286x = 71,808,031 × 71,808,031
  4. Step 4: Simplify right side
    48,869,286x = 5,156,393,316,096,961
  5. Step 5: Solve for x
    x = 5,156,393,316,096,961/48,869,286
  6. Step 6: Final answer
    x = 105,513,989.22

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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.