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Finding the Third Proportional to 52,214,874 and 113,107,764

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Solution

The third proportional to 52,214,874 and 113,107,764 is: 245,013,830.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,214,874 : 113,107,764 = 113,107,764 : x
  2. Step 2: Convert to fraction form
    52,214,874/113,107,764 = 113,107,764/x
  3. Step 3: Cross multiply
    52,214,874x = 113,107,764 × 113,107,764
  4. Step 4: Simplify right side
    52,214,874x = 12,793,366,277,079,696
  5. Step 5: Solve for x
    x = 12,793,366,277,079,696/52,214,874
  6. Step 6: Final answer
    x = 245,013,830.29

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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.