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Finding the Third Proportional to 9,687,810 and 15,000,564

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Solution

The third proportional to 9,687,810 and 15,000,564 is: 23,226,809.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687,810 : 15,000,564 = 15,000,564 : x
  2. Step 2: Convert to fraction form
    9,687,810/15,000,564 = 15,000,564/x
  3. Step 3: Cross multiply
    9,687,810x = 15,000,564 × 15,000,564
  4. Step 4: Simplify right side
    9,687,810x = 225,016,920,318,096
  5. Step 5: Solve for x
    x = 225,016,920,318,096/9,687,810
  6. Step 6: Final answer
    x = 23,226,809.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.