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Finding the Third Proportional to 2,354,377.50 and 5,029,920

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Solution

The third proportional to 2,354,377.50 and 5,029,920 is: 10,745,980.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354,377.50 : 5,029,920 = 5,029,920 : x
  2. Step 2: Convert to fraction form
    2,354,377.50/5,029,920 = 5,029,920/x
  3. Step 3: Cross multiply
    2,354,377.50x = 5,029,920 × 5,029,920
  4. Step 4: Simplify right side
    2,354,377.50x = 25,300,095,206,400
  5. Step 5: Solve for x
    x = 25,300,095,206,400/2,354,377.50
  6. Step 6: Final answer
    x = 10,745,980.71

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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.