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Finding the Third Proportional to 10,252,420 and 14,419,356

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Solution

The third proportional to 10,252,420 and 14,419,356 is: 20,279,878.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252,420 : 14,419,356 = 14,419,356 : x
  2. Step 2: Convert to fraction form
    10,252,420/14,419,356 = 14,419,356/x
  3. Step 3: Cross multiply
    10,252,420x = 14,419,356 × 14,419,356
  4. Step 4: Simplify right side
    10,252,420x = 207,917,827,454,736
  5. Step 5: Solve for x
    x = 207,917,827,454,736/10,252,420
  6. Step 6: Final answer
    x = 20,279,878.06

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.