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Finding the Third Proportional to 65,024,649 and 97,218,157.50

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Solution

The third proportional to 65,024,649 and 97,218,157.50 is: 145,350,575.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,024,649 : 97,218,157.50 = 97,218,157.50 : x
  2. Step 2: Convert to fraction form
    65,024,649/97,218,157.50 = 97,218,157.50/x
  3. Step 3: Cross multiply
    65,024,649x = 97,218,157.50 × 97,218,157.50
  4. Step 4: Simplify right side
    65,024,649x = 9,451,370,147,694,806
  5. Step 5: Solve for x
    x = 9,451,370,147,694,806/65,024,649
  6. Step 6: Final answer
    x = 145,350,575.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.