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Finding the Third Proportional to 10,496,969 and 15,690,805

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Solution

The third proportional to 10,496,969 and 15,690,805 is: 23,454,519.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496,969 : 15,690,805 = 15,690,805 : x
  2. Step 2: Convert to fraction form
    10,496,969/15,690,805 = 15,690,805/x
  3. Step 3: Cross multiply
    10,496,969x = 15,690,805 × 15,690,805
  4. Step 4: Simplify right side
    10,496,969x = 246,201,361,548,025
  5. Step 5: Solve for x
    x = 246,201,361,548,025/10,496,969
  6. Step 6: Final answer
    x = 23,454,519.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.