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Finding the Third Proportional to 193,677,012 and 414,984,552

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Solution

The third proportional to 193,677,012 and 414,984,552 is: 889,172,011.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,677,012 : 414,984,552 = 414,984,552 : x
  2. Step 2: Convert to fraction form
    193,677,012/414,984,552 = 414,984,552/x
  3. Step 3: Cross multiply
    193,677,012x = 414,984,552 × 414,984,552
  4. Step 4: Simplify right side
    193,677,012x = 172,212,178,398,640,704
  5. Step 5: Solve for x
    x = 172,212,178,398,640,704/193,677,012
  6. Step 6: Final answer
    x = 889,172,011.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.