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Finding the Third Proportional to 1,138,132,386 and 1,707,198,576.50

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Solution

The third proportional to 1,138,132,386 and 1,707,198,576.50 is: 2,560,797,861

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138,132,386 : 1,707,198,576.50 = 1,707,198,576.50 : x
  2. Step 2: Convert to fraction form
    1,138,132,386/1,707,198,576.50 = 1,707,198,576.50/x
  3. Step 3: Cross multiply
    1,138,132,386x = 1,707,198,576.50 × 1,707,198,576.50
  4. Step 4: Simplify right side
    1,138,132,386x = 2,914,526,979,603,626,496
  5. Step 5: Solve for x
    x = 2,914,526,979,603,626,496/1,138,132,386
  6. Step 6: Final answer
    x = 2,560,797,861

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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.