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Finding the Third Proportional to 9,661,564 and 20,836,378

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Solution

The third proportional to 9,661,564 and 20,836,378 is: 44,936,269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661,564 : 20,836,378 = 20,836,378 : x
  2. Step 2: Convert to fraction form
    9,661,564/20,836,378 = 20,836,378/x
  3. Step 3: Cross multiply
    9,661,564x = 20,836,378 × 20,836,378
  4. Step 4: Simplify right side
    9,661,564x = 434,154,648,158,884
  5. Step 5: Solve for x
    x = 434,154,648,158,884/9,661,564
  6. Step 6: Final answer
    x = 44,936,269.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.