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Finding the Third Proportional to 2,891,037,138 and 3,900,687,864

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Solution

The third proportional to 2,891,037,138 and 3,900,687,864 is: 5,262,943,741.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891,037,138 : 3,900,687,864 = 3,900,687,864 : x
  2. Step 2: Convert to fraction form
    2,891,037,138/3,900,687,864 = 3,900,687,864/x
  3. Step 3: Cross multiply
    2,891,037,138x = 3,900,687,864 × 3,900,687,864
  4. Step 4: Simplify right side
    2,891,037,138x = 15,215,365,812,356,882,432
  5. Step 5: Solve for x
    x = 15,215,365,812,356,882,432/2,891,037,138
  6. Step 6: Final answer
    x = 5,262,943,741.66

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.