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Finding the Third Proportional to 11,740,275 and 25,564,795

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Solution

The third proportional to 11,740,275 and 25,564,795 is: 55,668,094.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740,275 : 25,564,795 = 25,564,795 : x
  2. Step 2: Convert to fraction form
    11,740,275/25,564,795 = 25,564,795/x
  3. Step 3: Cross multiply
    11,740,275x = 25,564,795 × 25,564,795
  4. Step 4: Simplify right side
    11,740,275x = 653,558,743,392,025
  5. Step 5: Solve for x
    x = 653,558,743,392,025/11,740,275
  6. Step 6: Final answer
    x = 55,668,094.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.