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Finding the Third Proportional to 695,373,831 and 1,473,652,458

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Solution

The third proportional to 695,373,831 and 1,473,652,458 is: 3,122,998,695.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,373,831 : 1,473,652,458 = 1,473,652,458 : x
  2. Step 2: Convert to fraction form
    695,373,831/1,473,652,458 = 1,473,652,458/x
  3. Step 3: Cross multiply
    695,373,831x = 1,473,652,458 × 1,473,652,458
  4. Step 4: Simplify right side
    695,373,831x = 2,171,651,566,969,441,792
  5. Step 5: Solve for x
    x = 2,171,651,566,969,441,792/695,373,831
  6. Step 6: Final answer
    x = 3,122,998,695.32

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.