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Finding the Third Proportional to 317,536,592 and 683,728,100

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Solution

The third proportional to 317,536,592 and 683,728,100 is: 1,472,221,238.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,536,592 : 683,728,100 = 683,728,100 : x
  2. Step 2: Convert to fraction form
    317,536,592/683,728,100 = 683,728,100/x
  3. Step 3: Cross multiply
    317,536,592x = 683,728,100 × 683,728,100
  4. Step 4: Simplify right side
    317,536,592x = 467,484,114,729,609,984
  5. Step 5: Solve for x
    x = 467,484,114,729,609,984/317,536,592
  6. Step 6: Final answer
    x = 1,472,221,238.46

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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.