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Finding the Third Proportional to 9,524,385 and 14,375,151

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Solution

The third proportional to 9,524,385 and 14,375,151 is: 21,696,410.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524,385 : 14,375,151 = 14,375,151 : x
  2. Step 2: Convert to fraction form
    9,524,385/14,375,151 = 14,375,151/x
  3. Step 3: Cross multiply
    9,524,385x = 14,375,151 × 14,375,151
  4. Step 4: Simplify right side
    9,524,385x = 206,644,966,272,801
  5. Step 5: Solve for x
    x = 206,644,966,272,801/9,524,385
  6. Step 6: Final answer
    x = 21,696,410.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.