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Finding the Third Proportional to 8,719,101 and 14,356,908

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Solution

The third proportional to 8,719,101 and 14,356,908 is: 23,640,144.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,719,101 : 14,356,908 = 14,356,908 : x
  2. Step 2: Convert to fraction form
    8,719,101/14,356,908 = 14,356,908/x
  3. Step 3: Cross multiply
    8,719,101x = 14,356,908 × 14,356,908
  4. Step 4: Simplify right side
    8,719,101x = 206,120,807,320,464
  5. Step 5: Solve for x
    x = 206,120,807,320,464/8,719,101
  6. Step 6: Final answer
    x = 23,640,144.47

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.