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Finding the Third Proportional to 52,827,472 and 114,448,810

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Solution

The third proportional to 52,827,472 and 114,448,810 is: 247,949,213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,827,472 : 114,448,810 = 114,448,810 : x
  2. Step 2: Convert to fraction form
    52,827,472/114,448,810 = 114,448,810/x
  3. Step 3: Cross multiply
    52,827,472x = 114,448,810 × 114,448,810
  4. Step 4: Simplify right side
    52,827,472x = 13,098,530,110,416,100
  5. Step 5: Solve for x
    x = 13,098,530,110,416,100/52,827,472
  6. Step 6: Final answer
    x = 247,949,213.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.