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Finding the Third Proportional to 317,536,585 and 683,728,087

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Solution

The third proportional to 317,536,585 and 683,728,087 is: 1,472,221,214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,536,585 : 683,728,087 = 683,728,087 : x
  2. Step 2: Convert to fraction form
    317,536,585/683,728,087 = 683,728,087/x
  3. Step 3: Cross multiply
    317,536,585x = 683,728,087 × 683,728,087
  4. Step 4: Simplify right side
    317,536,585x = 467,484,096,952,679,552
  5. Step 5: Solve for x
    x = 467,484,096,952,679,552/317,536,585
  6. Step 6: Final answer
    x = 1,472,221,214.93

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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.