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Finding the Third Proportional to 709,277,216,626 and 1,059,267,993,714

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Solution

The third proportional to 709,277,216,626 and 1,059,267,993,714 is: 1,581,960,700,562.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,277,216,626 : 1,059,267,993,714 = 1,059,267,993,714 : x
  2. Step 2: Convert to fraction form
    709,277,216,626/1,059,267,993,714 = 1,059,267,993,714/x
  3. Step 3: Cross multiply
    709,277,216,626x = 1,059,267,993,714 × 1,059,267,993,714
  4. Step 4: Simplify right side
    709,277,216,626x = 1,122,048,682,506,882,698,444,800
  5. Step 5: Solve for x
    x = 1,122,048,682,506,882,698,444,800/709,277,216,626
  6. Step 6: Final answer
    x = 1,581,960,700,562.78

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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.