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Finding the Third Proportional to 10,787,160 and 23,175,177

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Solution

The third proportional to 10,787,160 and 23,175,177 is: 49,789,641.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,787,160 : 23,175,177 = 23,175,177 : x
  2. Step 2: Convert to fraction form
    10,787,160/23,175,177 = 23,175,177/x
  3. Step 3: Cross multiply
    10,787,160x = 23,175,177 × 23,175,177
  4. Step 4: Simplify right side
    10,787,160x = 537,088,828,981,329
  5. Step 5: Solve for x
    x = 537,088,828,981,329/10,787,160
  6. Step 6: Final answer
    x = 49,789,641.48

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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.