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Finding the Third Proportional to 5,679,746 and 12,225,548

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Solution

The third proportional to 5,679,746 and 12,225,548 is: 26,315,265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679,746 : 12,225,548 = 12,225,548 : x
  2. Step 2: Convert to fraction form
    5,679,746/12,225,548 = 12,225,548/x
  3. Step 3: Cross multiply
    5,679,746x = 12,225,548 × 12,225,548
  4. Step 4: Simplify right side
    5,679,746x = 149,464,023,900,304
  5. Step 5: Solve for x
    x = 149,464,023,900,304/5,679,746
  6. Step 6: Final answer
    x = 26,315,265.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.