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Finding the Third Proportional to 650,578,497 and 991,121,704.50

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Solution

The third proportional to 650,578,497 and 991,121,704.50 is: 1,509,921,151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,578,497 : 991,121,704.50 = 991,121,704.50 : x
  2. Step 2: Convert to fraction form
    650,578,497/991,121,704.50 = 991,121,704.50/x
  3. Step 3: Cross multiply
    650,578,497x = 991,121,704.50 × 991,121,704.50
  4. Step 4: Simplify right side
    650,578,497x = 982,322,233,130,985,344
  5. Step 5: Solve for x
    x = 982,322,233,130,985,344/650,578,497
  6. Step 6: Final answer
    x = 1,509,921,151.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.