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Finding the Third Proportional to 9,232,127 and 14,481,966

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Solution

The third proportional to 9,232,127 and 14,481,966 is: 22,717,120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232,127 : 14,481,966 = 14,481,966 : x
  2. Step 2: Convert to fraction form
    9,232,127/14,481,966 = 14,481,966/x
  3. Step 3: Cross multiply
    9,232,127x = 14,481,966 × 14,481,966
  4. Step 4: Simplify right side
    9,232,127x = 209,727,339,225,156
  5. Step 5: Solve for x
    x = 209,727,339,225,156/9,232,127
  6. Step 6: Final answer
    x = 22,717,120.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.