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Finding the Third Proportional to 52,827,474 and 114,448,814

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Solution

The third proportional to 52,827,474 and 114,448,814 is: 247,949,221.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,827,474 : 114,448,814 = 114,448,814 : x
  2. Step 2: Convert to fraction form
    52,827,474/114,448,814 = 114,448,814/x
  3. Step 3: Cross multiply
    52,827,474x = 114,448,814 × 114,448,814
  4. Step 4: Simplify right side
    52,827,474x = 13,098,531,026,006,596
  5. Step 5: Solve for x
    x = 13,098,531,026,006,596/52,827,474
  6. Step 6: Final answer
    x = 247,949,221.01

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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.