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Finding the Third Proportional to 16,047,463.50 and 34,170,102

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Solution

The third proportional to 16,047,463.50 and 34,170,102 is: 72,758,904.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,047,463.50 : 34,170,102 = 34,170,102 : x
  2. Step 2: Convert to fraction form
    16,047,463.50/34,170,102 = 34,170,102/x
  3. Step 3: Cross multiply
    16,047,463.50x = 34,170,102 × 34,170,102
  4. Step 4: Simplify right side
    16,047,463.50x = 1,167,595,870,690,404
  5. Step 5: Solve for x
    x = 1,167,595,870,690,404/16,047,463.50
  6. Step 6: Final answer
    x = 72,758,904.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.