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Finding the Third Proportional to 9,687,969 and 20,766,890

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Solution

The third proportional to 9,687,969 and 20,766,890 is: 44,515,390.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687,969 : 20,766,890 = 20,766,890 : x
  2. Step 2: Convert to fraction form
    9,687,969/20,766,890 = 20,766,890/x
  3. Step 3: Cross multiply
    9,687,969x = 20,766,890 × 20,766,890
  4. Step 4: Simplify right side
    9,687,969x = 431,263,720,272,100
  5. Step 5: Solve for x
    x = 431,263,720,272,100/9,687,969
  6. Step 6: Final answer
    x = 44,515,390.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.