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Finding the Third Proportional to 11,817,564 and 25,705,671

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Solution

The third proportional to 11,817,564 and 25,705,671 is: 55,915,205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817,564 : 25,705,671 = 25,705,671 : x
  2. Step 2: Convert to fraction form
    11,817,564/25,705,671 = 25,705,671/x
  3. Step 3: Cross multiply
    11,817,564x = 25,705,671 × 25,705,671
  4. Step 4: Simplify right side
    11,817,564x = 660,781,521,560,241
  5. Step 5: Solve for x
    x = 660,781,521,560,241/11,817,564
  6. Step 6: Final answer
    x = 55,915,205.67

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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.