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Finding the Third Proportional to 5,659,650 and 12,215,583

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Solution

The third proportional to 5,659,650 and 12,215,583 is: 26,365,670.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659,650 : 12,215,583 = 12,215,583 : x
  2. Step 2: Convert to fraction form
    5,659,650/12,215,583 = 12,215,583/x
  3. Step 3: Cross multiply
    5,659,650x = 12,215,583 × 12,215,583
  4. Step 4: Simplify right side
    5,659,650x = 149,220,468,029,889
  5. Step 5: Solve for x
    x = 149,220,468,029,889/5,659,650
  6. Step 6: Final answer
    x = 26,365,670.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.