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Finding the Third Proportional to 10,544,696 and 16,878,380

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Solution

The third proportional to 10,544,696 and 16,878,380 is: 27,016,398.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,544,696 : 16,878,380 = 16,878,380 : x
  2. Step 2: Convert to fraction form
    10,544,696/16,878,380 = 16,878,380/x
  3. Step 3: Cross multiply
    10,544,696x = 16,878,380 × 16,878,380
  4. Step 4: Simplify right side
    10,544,696x = 284,879,711,424,400
  5. Step 5: Solve for x
    x = 284,879,711,424,400/10,544,696
  6. Step 6: Final answer
    x = 27,016,398.71

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.