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Finding the Third Proportional to 11,661,645 and 25,374,315

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Solution

The third proportional to 11,661,645 and 25,374,315 is: 55,211,409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661,645 : 25,374,315 = 25,374,315 : x
  2. Step 2: Convert to fraction form
    11,661,645/25,374,315 = 25,374,315/x
  3. Step 3: Cross multiply
    11,661,645x = 25,374,315 × 25,374,315
  4. Step 4: Simplify right side
    11,661,645x = 643,855,861,719,225
  5. Step 5: Solve for x
    x = 643,855,861,719,225/11,661,645
  6. Step 6: Final answer
    x = 55,211,409.86

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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.