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Finding the Third Proportional to 52,214,916 and 113,107,845

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Solution

The third proportional to 52,214,916 and 113,107,845 is: 245,013,984.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,214,916 : 113,107,845 = 113,107,845 : x
  2. Step 2: Convert to fraction form
    52,214,916/113,107,845 = 113,107,845/x
  3. Step 3: Cross multiply
    52,214,916x = 113,107,845 × 113,107,845
  4. Step 4: Simplify right side
    52,214,916x = 12,793,384,600,544,024
  5. Step 5: Solve for x
    x = 12,793,384,600,544,024/52,214,916
  6. Step 6: Final answer
    x = 245,013,984.14

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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.