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Finding the Third Proportional to 20,819,001 and 45,109,593

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Solution

The third proportional to 20,819,001 and 45,109,593 is: 97,741,259.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,819,001 : 45,109,593 = 45,109,593 : x
  2. Step 2: Convert to fraction form
    20,819,001/45,109,593 = 45,109,593/x
  3. Step 3: Cross multiply
    20,819,001x = 45,109,593 × 45,109,593
  4. Step 4: Simplify right side
    20,819,001x = 2,034,875,380,625,649
  5. Step 5: Solve for x
    x = 2,034,875,380,625,649/20,819,001
  6. Step 6: Final answer
    x = 97,741,259.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.