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Finding the Third Proportional to 2,380,002.75 and 5,232,397.50

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Solution

The third proportional to 2,380,002.75 and 5,232,397.50 is: 11,503,341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380,002.75 : 5,232,397.50 = 5,232,397.50 : x
  2. Step 2: Convert to fraction form
    2,380,002.75/5,232,397.50 = 5,232,397.50/x
  3. Step 3: Cross multiply
    2,380,002.75x = 5,232,397.50 × 5,232,397.50
  4. Step 4: Simplify right side
    2,380,002.75x = 27,377,983,598,006.25
  5. Step 5: Solve for x
    x = 27,377,983,598,006.25/2,380,002.75
  6. Step 6: Final answer
    x = 11,503,341.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.