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Finding the Third Proportional to 24,610,857.75 and 53,650,147.50

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Solution

The third proportional to 24,610,857.75 and 53,650,147.50 is: 116,954,002.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,610,857.75 : 53,650,147.50 = 53,650,147.50 : x
  2. Step 2: Convert to fraction form
    24,610,857.75/53,650,147.50 = 53,650,147.50/x
  3. Step 3: Cross multiply
    24,610,857.75x = 53,650,147.50 × 53,650,147.50
  4. Step 4: Simplify right side
    24,610,857.75x = 2,878,338,326,771,756
  5. Step 5: Solve for x
    x = 2,878,338,326,771,756/24,610,857.75
  6. Step 6: Final answer
    x = 116,954,002.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.