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Finding the Third Proportional to 635,128,518 and 1,322,451,643.88

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Solution

The third proportional to 635,128,518 and 1,322,451,643.88 is: 2,753,581,835.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,128,518 : 1,322,451,643.88 = 1,322,451,643.88 : x
  2. Step 2: Convert to fraction form
    635,128,518/1,322,451,643.88 = 1,322,451,643.88/x
  3. Step 3: Cross multiply
    635,128,518x = 1,322,451,643.88 × 1,322,451,643.88
  4. Step 4: Simplify right side
    635,128,518x = 1,748,878,350,387,689,728
  5. Step 5: Solve for x
    x = 1,748,878,350,387,689,728/635,128,518
  6. Step 6: Final answer
    x = 2,753,581,835.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.