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Finding the Third Proportional to 5,071,234 and 11,276,324

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Solution

The third proportional to 5,071,234 and 11,276,324 is: 25,073,874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071,234 : 11,276,324 = 11,276,324 : x
  2. Step 2: Convert to fraction form
    5,071,234/11,276,324 = 11,276,324/x
  3. Step 3: Cross multiply
    5,071,234x = 11,276,324 × 11,276,324
  4. Step 4: Simplify right side
    5,071,234x = 127,155,482,952,976
  5. Step 5: Solve for x
    x = 127,155,482,952,976/5,071,234
  6. Step 6: Final answer
    x = 25,073,874.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.