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Finding the Third Proportional to 1,982,793,035 and 2,966,328,146

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Solution

The third proportional to 1,982,793,035 and 2,966,328,146 is: 4,437,731,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982,793,035 : 2,966,328,146 = 2,966,328,146 : x
  2. Step 2: Convert to fraction form
    1,982,793,035/2,966,328,146 = 2,966,328,146/x
  3. Step 3: Cross multiply
    1,982,793,035x = 2,966,328,146 × 2,966,328,146
  4. Step 4: Simplify right side
    1,982,793,035x = 8,799,102,669,751,797,760
  5. Step 5: Solve for x
    x = 8,799,102,669,751,797,760/1,982,793,035
  6. Step 6: Final answer
    x = 4,437,731,278.27

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Why These Related Problems?

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