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Finding the Third Proportional to 24,276,580 and 52,007,231

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Solution

The third proportional to 24,276,580 and 52,007,231 is: 111,414,049.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,276,580 : 52,007,231 = 52,007,231 : x
  2. Step 2: Convert to fraction form
    24,276,580/52,007,231 = 52,007,231/x
  3. Step 3: Cross multiply
    24,276,580x = 52,007,231 × 52,007,231
  4. Step 4: Simplify right side
    24,276,580x = 2,704,752,076,287,361
  5. Step 5: Solve for x
    x = 2,704,752,076,287,361/24,276,580
  6. Step 6: Final answer
    x = 111,414,049.11

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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.