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Finding the Third Proportional to 8,982,774 and 13,807,314

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Solution

The third proportional to 8,982,774 and 13,807,314 is: 21,223,056.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,982,774 : 13,807,314 = 13,807,314 : x
  2. Step 2: Convert to fraction form
    8,982,774/13,807,314 = 13,807,314/x
  3. Step 3: Cross multiply
    8,982,774x = 13,807,314 × 13,807,314
  4. Step 4: Simplify right side
    8,982,774x = 190,641,919,894,596
  5. Step 5: Solve for x
    x = 190,641,919,894,596/8,982,774
  6. Step 6: Final answer
    x = 21,223,056.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.