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Finding the Third Proportional to 5,230,947 and 11,288,094

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Solution

The third proportional to 5,230,947 and 11,288,094 is: 24,359,081.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230,947 : 11,288,094 = 11,288,094 : x
  2. Step 2: Convert to fraction form
    5,230,947/11,288,094 = 11,288,094/x
  3. Step 3: Cross multiply
    5,230,947x = 11,288,094 × 11,288,094
  4. Step 4: Simplify right side
    5,230,947x = 127,421,066,152,836
  5. Step 5: Solve for x
    x = 127,421,066,152,836/5,230,947
  6. Step 6: Final answer
    x = 24,359,081.86

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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.