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Finding the Third Proportional to 24,109,824 and 52,901,932

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Solution

The third proportional to 24,109,824 and 52,901,932 is: 116,077,761.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,109,824 : 52,901,932 = 52,901,932 : x
  2. Step 2: Convert to fraction form
    24,109,824/52,901,932 = 52,901,932/x
  3. Step 3: Cross multiply
    24,109,824x = 52,901,932 × 52,901,932
  4. Step 4: Simplify right side
    24,109,824x = 2,798,614,409,332,624
  5. Step 5: Solve for x
    x = 2,798,614,409,332,624/24,109,824
  6. Step 6: Final answer
    x = 116,077,761.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.