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Finding the Third Proportional to 709,277,216,620.50 and 1,059,267,993,704.20

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Solution

The third proportional to 709,277,216,620.50 and 1,059,267,993,704.20 is: 1,581,960,700,545.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,277,216,620.50 : 1,059,267,993,704.20 = 1,059,267,993,704.20 : x
  2. Step 2: Convert to fraction form
    709,277,216,620.50/1,059,267,993,704.20 = 1,059,267,993,704.20/x
  3. Step 3: Cross multiply
    709,277,216,620.50x = 1,059,267,993,704.20 × 1,059,267,993,704.20
  4. Step 4: Simplify right side
    709,277,216,620.50x = 1,122,048,682,486,120,960,753,664
  5. Step 5: Solve for x
    x = 1,122,048,682,486,120,960,753,664/709,277,216,620.50
  6. Step 6: Final answer
    x = 1,581,960,700,545.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.