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Finding the Third Proportional to 9,591,580 and 20,069,912

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Solution

The third proportional to 9,591,580 and 20,069,912 is: 41,995,309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591,580 : 20,069,912 = 20,069,912 : x
  2. Step 2: Convert to fraction form
    9,591,580/20,069,912 = 20,069,912/x
  3. Step 3: Cross multiply
    9,591,580x = 20,069,912 × 20,069,912
  4. Step 4: Simplify right side
    9,591,580x = 402,801,367,687,744
  5. Step 5: Solve for x
    x = 402,801,367,687,744/9,591,580
  6. Step 6: Final answer
    x = 41,995,309.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.