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Finding the Third Proportional to 12,664,218 and 29,865,744

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Solution

The third proportional to 12,664,218 and 29,865,744 is: 70,431,720.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664,218 : 29,865,744 = 29,865,744 : x
  2. Step 2: Convert to fraction form
    12,664,218/29,865,744 = 29,865,744/x
  3. Step 3: Cross multiply
    12,664,218x = 29,865,744 × 29,865,744
  4. Step 4: Simplify right side
    12,664,218x = 891,962,664,673,536
  5. Step 5: Solve for x
    x = 891,962,664,673,536/12,664,218
  6. Step 6: Final answer
    x = 70,431,720.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.