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Finding the Third Proportional to 1,982,793,037 and 2,966,328,149

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Solution

The third proportional to 1,982,793,037 and 2,966,328,149 is: 4,437,731,282.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982,793,037 : 2,966,328,149 = 2,966,328,149 : x
  2. Step 2: Convert to fraction form
    1,982,793,037/2,966,328,149 = 2,966,328,149/x
  3. Step 3: Cross multiply
    1,982,793,037x = 2,966,328,149 × 2,966,328,149
  4. Step 4: Simplify right side
    1,982,793,037x = 8,799,102,687,549,766,656
  5. Step 5: Solve for x
    x = 8,799,102,687,549,766,656/1,982,793,037
  6. Step 6: Final answer
    x = 4,437,731,282.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.