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Finding the Third Proportional to 24,027,390 and 49,758,120

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Solution

The third proportional to 24,027,390 and 49,758,120 is: 103,043,672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,027,390 : 49,758,120 = 49,758,120 : x
  2. Step 2: Convert to fraction form
    24,027,390/49,758,120 = 49,758,120/x
  3. Step 3: Cross multiply
    24,027,390x = 49,758,120 × 49,758,120
  4. Step 4: Simplify right side
    24,027,390x = 2,475,870,505,934,400
  5. Step 5: Solve for x
    x = 2,475,870,505,934,400/24,027,390
  6. Step 6: Final answer
    x = 103,043,672.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.