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Finding the Third Proportional to 11,734,920 and 18,672,564

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Solution

The third proportional to 11,734,920 and 18,672,564 is: 29,711,719.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,734,920 : 18,672,564 = 18,672,564 : x
  2. Step 2: Convert to fraction form
    11,734,920/18,672,564 = 18,672,564/x
  3. Step 3: Cross multiply
    11,734,920x = 18,672,564 × 18,672,564
  4. Step 4: Simplify right side
    11,734,920x = 348,664,646,334,096
  5. Step 5: Solve for x
    x = 348,664,646,334,096/11,734,920
  6. Step 6: Final answer
    x = 29,711,719.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.