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Finding the Third Proportional to 9,154,782 and 13,451,901

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Solution

The third proportional to 9,154,782 and 13,451,901 is: 19,766,023.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154,782 : 13,451,901 = 13,451,901 : x
  2. Step 2: Convert to fraction form
    9,154,782/13,451,901 = 13,451,901/x
  3. Step 3: Cross multiply
    9,154,782x = 13,451,901 × 13,451,901
  4. Step 4: Simplify right side
    9,154,782x = 180,953,640,513,801
  5. Step 5: Solve for x
    x = 180,953,640,513,801/9,154,782
  6. Step 6: Final answer
    x = 19,766,023.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.