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Finding the Third Proportional to 2,367,176.50 and 5,177,207

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Solution

The third proportional to 2,367,176.50 and 5,177,207 is: 11,322,971.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367,176.50 : 5,177,207 = 5,177,207 : x
  2. Step 2: Convert to fraction form
    2,367,176.50/5,177,207 = 5,177,207/x
  3. Step 3: Cross multiply
    2,367,176.50x = 5,177,207 × 5,177,207
  4. Step 4: Simplify right side
    2,367,176.50x = 26,803,472,320,849
  5. Step 5: Solve for x
    x = 26,803,472,320,849/2,367,176.50
  6. Step 6: Final answer
    x = 11,322,971.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.