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Finding the Third Proportional to 2,242,563 and 5,264,743.50

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Solution

The third proportional to 2,242,563 and 5,264,743.50 is: 12,359,752.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242,563 : 5,264,743.50 = 5,264,743.50 : x
  2. Step 2: Convert to fraction form
    2,242,563/5,264,743.50 = 5,264,743.50/x
  3. Step 3: Cross multiply
    2,242,563x = 5,264,743.50 × 5,264,743.50
  4. Step 4: Simplify right side
    2,242,563x = 27,717,524,120,792.25
  5. Step 5: Solve for x
    x = 27,717,524,120,792.25/2,242,563
  6. Step 6: Final answer
    x = 12,359,752.71

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.