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Finding the Third Proportional to 23,584,744.69 and 48,313,027.13

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Solution

The third proportional to 23,584,744.69 and 48,313,027.13 is: 98,968,575.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,584,744.69 : 48,313,027.13 = 48,313,027.13 : x
  2. Step 2: Convert to fraction form
    23,584,744.69/48,313,027.13 = 48,313,027.13/x
  3. Step 3: Cross multiply
    23,584,744.69x = 48,313,027.13 × 48,313,027.13
  4. Step 4: Simplify right side
    23,584,744.69x = 2,334,148,589,980,986
  5. Step 5: Solve for x
    x = 2,334,148,589,980,986/23,584,744.69
  6. Step 6: Final answer
    x = 98,968,575.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.