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Finding the Third Proportional to 9,119,466 and 14,231,295

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Solution

The third proportional to 9,119,466 and 14,231,295 is: 22,208,510.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119,466 : 14,231,295 = 14,231,295 : x
  2. Step 2: Convert to fraction form
    9,119,466/14,231,295 = 14,231,295/x
  3. Step 3: Cross multiply
    9,119,466x = 14,231,295 × 14,231,295
  4. Step 4: Simplify right side
    9,119,466x = 202,529,757,377,025
  5. Step 5: Solve for x
    x = 202,529,757,377,025/9,119,466
  6. Step 6: Final answer
    x = 22,208,510.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.