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Finding the Third Proportional to 9,768,381 and 14,359,902

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Solution

The third proportional to 9,768,381 and 14,359,902 is: 21,109,617.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768,381 : 14,359,902 = 14,359,902 : x
  2. Step 2: Convert to fraction form
    9,768,381/14,359,902 = 14,359,902/x
  3. Step 3: Cross multiply
    9,768,381x = 14,359,902 × 14,359,902
  4. Step 4: Simplify right side
    9,768,381x = 206,206,785,449,604
  5. Step 5: Solve for x
    x = 206,206,785,449,604/9,768,381
  6. Step 6: Final answer
    x = 21,109,617.39

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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.