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Finding the Third Proportional to 24,109,832 and 52,901,948

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Solution

The third proportional to 24,109,832 and 52,901,948 is: 116,077,793.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,109,832 : 52,901,948 = 52,901,948 : x
  2. Step 2: Convert to fraction form
    24,109,832/52,901,948 = 52,901,948/x
  3. Step 3: Cross multiply
    24,109,832x = 52,901,948 × 52,901,948
  4. Step 4: Simplify right side
    24,109,832x = 2,798,616,102,194,704
  5. Step 5: Solve for x
    x = 2,798,616,102,194,704/24,109,832
  6. Step 6: Final answer
    x = 116,077,793.58

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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.