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Finding the Third Proportional to 24,538,397.50 and 53,166,290

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Solution

The third proportional to 24,538,397.50 and 53,166,290 is: 115,193,112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538,397.50 : 53,166,290 = 53,166,290 : x
  2. Step 2: Convert to fraction form
    24,538,397.50/53,166,290 = 53,166,290/x
  3. Step 3: Cross multiply
    24,538,397.50x = 53,166,290 × 53,166,290
  4. Step 4: Simplify right side
    24,538,397.50x = 2,826,654,392,364,100
  5. Step 5: Solve for x
    x = 2,826,654,392,364,100/24,538,397.50
  6. Step 6: Final answer
    x = 115,193,112.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.