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Finding the Third Proportional to 650,697,175 and 991,292,433

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Solution

The third proportional to 650,697,175 and 991,292,433 is: 1,510,165,904.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,697,175 : 991,292,433 = 991,292,433 : x
  2. Step 2: Convert to fraction form
    650,697,175/991,292,433 = 991,292,433/x
  3. Step 3: Cross multiply
    650,697,175x = 991,292,433 × 991,292,433
  4. Step 4: Simplify right side
    650,697,175x = 982,660,687,723,059,456
  5. Step 5: Solve for x
    x = 982,660,687,723,059,456/650,697,175
  6. Step 6: Final answer
    x = 1,510,165,904.32

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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.