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Finding the Third Proportional to 650,697,171 and 991,292,427

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Solution

The third proportional to 650,697,171 and 991,292,427 is: 1,510,165,895.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,697,171 : 991,292,427 = 991,292,427 : x
  2. Step 2: Convert to fraction form
    650,697,171/991,292,427 = 991,292,427/x
  3. Step 3: Cross multiply
    650,697,171x = 991,292,427 × 991,292,427
  4. Step 4: Simplify right side
    650,697,171x = 982,660,675,827,550,336
  5. Step 5: Solve for x
    x = 982,660,675,827,550,336/650,697,171
  6. Step 6: Final answer
    x = 1,510,165,895.32

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