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Finding the Third Proportional to 24,948,096 and 53,746,176

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Solution

The third proportional to 24,948,096 and 53,746,176 is: 115,786,448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,948,096 : 53,746,176 = 53,746,176 : x
  2. Step 2: Convert to fraction form
    24,948,096/53,746,176 = 53,746,176/x
  3. Step 3: Cross multiply
    24,948,096x = 53,746,176 × 53,746,176
  4. Step 4: Simplify right side
    24,948,096x = 2,888,651,434,622,976
  5. Step 5: Solve for x
    x = 2,888,651,434,622,976/24,948,096
  6. Step 6: Final answer
    x = 115,786,448.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.