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Finding the Third Proportional to 51,071,996 and 71,664,130

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Solution

The third proportional to 51,071,996 and 71,664,130 is: 100,558,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,071,996 : 71,664,130 = 71,664,130 : x
  2. Step 2: Convert to fraction form
    51,071,996/71,664,130 = 71,664,130/x
  3. Step 3: Cross multiply
    51,071,996x = 71,664,130 × 71,664,130
  4. Step 4: Simplify right side
    51,071,996x = 5,135,747,528,656,900
  5. Step 5: Solve for x
    x = 5,135,747,528,656,900/51,071,996
  6. Step 6: Final answer
    x = 100,558,974.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.