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Finding the Third Proportional to 24,843,327.75 and 54,292,457.25

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Solution

The third proportional to 24,843,327.75 and 54,292,457.25 is: 118,650,405.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,843,327.75 : 54,292,457.25 = 54,292,457.25 : x
  2. Step 2: Convert to fraction form
    24,843,327.75/54,292,457.25 = 54,292,457.25/x
  3. Step 3: Cross multiply
    24,843,327.75x = 54,292,457.25 × 54,292,457.25
  4. Step 4: Simplify right side
    24,843,327.75x = 2,947,670,914,243,077.50
  5. Step 5: Solve for x
    x = 2,947,670,914,243,077.50/24,843,327.75
  6. Step 6: Final answer
    x = 118,650,405.61

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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.