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Finding the Third Proportional to 1,705,396,863 and 3,731,744,238

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Solution

The third proportional to 1,705,396,863 and 3,731,744,238 is: 8,165,791,411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705,396,863 : 3,731,744,238 = 3,731,744,238 : x
  2. Step 2: Convert to fraction form
    1,705,396,863/3,731,744,238 = 3,731,744,238/x
  3. Step 3: Cross multiply
    1,705,396,863x = 3,731,744,238 × 3,731,744,238
  4. Step 4: Simplify right side
    1,705,396,863x = 13,925,915,057,846,200,320
  5. Step 5: Solve for x
    x = 13,925,915,057,846,200,320/1,705,396,863
  6. Step 6: Final answer
    x = 8,165,791,411.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.