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Finding the Third Proportional to 224,741,617,416 and 324,712,825,110

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Solution

The third proportional to 224,741,617,416 and 324,712,825,110 is: 469,153,955,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,741,617,416 : 324,712,825,110 = 324,712,825,110 : x
  2. Step 2: Convert to fraction form
    224,741,617,416/324,712,825,110 = 324,712,825,110/x
  3. Step 3: Cross multiply
    224,741,617,416x = 324,712,825,110 × 324,712,825,110
  4. Step 4: Simplify right side
    224,741,617,416x = 105,438,418,790,917,441,847,296
  5. Step 5: Solve for x
    x = 105,438,418,790,917,441,847,296/224,741,617,416
  6. Step 6: Final answer
    x = 469,153,955,565.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.