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Finding the Third Proportional to 1,643,080,474 and 3,653,530,292

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Solution

The third proportional to 1,643,080,474 and 3,653,530,292 is: 8,123,937,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643,080,474 : 3,653,530,292 = 3,653,530,292 : x
  2. Step 2: Convert to fraction form
    1,643,080,474/3,653,530,292 = 3,653,530,292/x
  3. Step 3: Cross multiply
    1,643,080,474x = 3,653,530,292 × 3,653,530,292
  4. Step 4: Simplify right side
    1,643,080,474x = 13,348,283,594,561,605,632
  5. Step 5: Solve for x
    x = 13,348,283,594,561,605,632/1,643,080,474
  6. Step 6: Final answer
    x = 8,123,937,814.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.