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Finding the Third Proportional to 66,834,059 and 106,346,131

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Solution

The third proportional to 66,834,059 and 106,346,131 is: 169,217,607.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,834,059 : 106,346,131 = 106,346,131 : x
  2. Step 2: Convert to fraction form
    66,834,059/106,346,131 = 106,346,131/x
  3. Step 3: Cross multiply
    66,834,059x = 106,346,131 × 106,346,131
  4. Step 4: Simplify right side
    66,834,059x = 11,309,499,578,669,160
  5. Step 5: Solve for x
    x = 11,309,499,578,669,160/66,834,059
  6. Step 6: Final answer
    x = 169,217,607.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.