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Finding the Third Proportional to 5,679,614 and 12,225,280

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Solution

The third proportional to 5,679,614 and 12,225,280 is: 26,314,723.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679,614 : 12,225,280 = 12,225,280 : x
  2. Step 2: Convert to fraction form
    5,679,614/12,225,280 = 12,225,280/x
  3. Step 3: Cross multiply
    5,679,614x = 12,225,280 × 12,225,280
  4. Step 4: Simplify right side
    5,679,614x = 149,457,471,078,400
  5. Step 5: Solve for x
    x = 149,457,471,078,400/5,679,614
  6. Step 6: Final answer
    x = 26,314,723.34

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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.