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Finding the Third Proportional to 317,536,589 and 683,728,095

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Solution

The third proportional to 317,536,589 and 683,728,095 is: 1,472,221,230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,536,589 : 683,728,095 = 683,728,095 : x
  2. Step 2: Convert to fraction form
    317,536,589/683,728,095 = 683,728,095/x
  3. Step 3: Cross multiply
    317,536,589x = 683,728,095 × 683,728,095
  4. Step 4: Simplify right side
    317,536,589x = 467,484,107,892,329,024
  5. Step 5: Solve for x
    x = 467,484,107,892,329,024/317,536,589
  6. Step 6: Final answer
    x = 1,472,221,230.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.