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Finding the Third Proportional to 5,110,884 and 10,930,902

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Solution

The third proportional to 5,110,884 and 10,930,902 is: 23,378,464.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,110,884 : 10,930,902 = 10,930,902 : x
  2. Step 2: Convert to fraction form
    5,110,884/10,930,902 = 10,930,902/x
  3. Step 3: Cross multiply
    5,110,884x = 10,930,902 × 10,930,902
  4. Step 4: Simplify right side
    5,110,884x = 119,484,618,533,604
  5. Step 5: Solve for x
    x = 119,484,618,533,604/5,110,884
  6. Step 6: Final answer
    x = 23,378,464.18

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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.