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Finding the Third Proportional to 709,277,216,636 and 1,059,267,993,728

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Solution

The third proportional to 709,277,216,636 and 1,059,267,993,728 is: 1,581,960,700,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,277,216,636 : 1,059,267,993,728 = 1,059,267,993,728 : x
  2. Step 2: Convert to fraction form
    709,277,216,636/1,059,267,993,728 = 1,059,267,993,728/x
  3. Step 3: Cross multiply
    709,277,216,636x = 1,059,267,993,728 × 1,059,267,993,728
  4. Step 4: Simplify right side
    709,277,216,636x = 1,122,048,682,536,542,266,195,968
  5. Step 5: Solve for x
    x = 1,122,048,682,536,542,266,195,968/709,277,216,636
  6. Step 6: Final answer
    x = 1,581,960,700,582.29

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