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Finding the Third Proportional to 11,660,306 and 25,616,258

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Solution

The third proportional to 11,660,306 and 25,616,258 is: 56,275,767.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660,306 : 25,616,258 = 25,616,258 : x
  2. Step 2: Convert to fraction form
    11,660,306/25,616,258 = 25,616,258/x
  3. Step 3: Cross multiply
    11,660,306x = 25,616,258 × 25,616,258
  4. Step 4: Simplify right side
    11,660,306x = 656,192,673,922,564
  5. Step 5: Solve for x
    x = 656,192,673,922,564/11,660,306
  6. Step 6: Final answer
    x = 56,275,767.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.