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Finding the Third Proportional to 4,159,944,726 and 8,465,172,396

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Solution

The third proportional to 4,159,944,726 and 8,465,172,396 is: 17,225,984,577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159,944,726 : 8,465,172,396 = 8,465,172,396 : x
  2. Step 2: Convert to fraction form
    4,159,944,726/8,465,172,396 = 8,465,172,396/x
  3. Step 3: Cross multiply
    4,159,944,726x = 8,465,172,396 × 8,465,172,396
  4. Step 4: Simplify right side
    4,159,944,726x = 71,659,143,694,000,381,952
  5. Step 5: Solve for x
    x = 71,659,143,694,000,381,952/4,159,944,726
  6. Step 6: Final answer
    x = 17,225,984,577.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.