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Finding the Third Proportional to 16,847,264 and 36,384,484

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Solution

The third proportional to 16,847,264 and 36,384,484 is: 78,578,377.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,847,264 : 36,384,484 = 36,384,484 : x
  2. Step 2: Convert to fraction form
    16,847,264/36,384,484 = 36,384,484/x
  3. Step 3: Cross multiply
    16,847,264x = 36,384,484 × 36,384,484
  4. Step 4: Simplify right side
    16,847,264x = 1,323,830,675,946,256
  5. Step 5: Solve for x
    x = 1,323,830,675,946,256/16,847,264
  6. Step 6: Final answer
    x = 78,578,377.83

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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.