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Finding the Third Proportional to 66,704,834 and 99,664,475

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Solution

The third proportional to 66,704,834 and 99,664,475 is: 148,909,861.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,704,834 : 99,664,475 = 99,664,475 : x
  2. Step 2: Convert to fraction form
    66,704,834/99,664,475 = 99,664,475/x
  3. Step 3: Cross multiply
    66,704,834x = 99,664,475 × 99,664,475
  4. Step 4: Simplify right side
    66,704,834x = 9,933,007,577,025,624
  5. Step 5: Solve for x
    x = 9,933,007,577,025,624/66,704,834
  6. Step 6: Final answer
    x = 148,909,861.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.