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Finding the Third Proportional to 5,146,834 and 11,140,982

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Solution

The third proportional to 5,146,834 and 11,140,982 is: 24,116,083.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146,834 : 11,140,982 = 11,140,982 : x
  2. Step 2: Convert to fraction form
    5,146,834/11,140,982 = 11,140,982/x
  3. Step 3: Cross multiply
    5,146,834x = 11,140,982 × 11,140,982
  4. Step 4: Simplify right side
    5,146,834x = 124,121,479,924,324
  5. Step 5: Solve for x
    x = 124,121,479,924,324/5,146,834
  6. Step 6: Final answer
    x = 24,116,083.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.