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Finding the Third Proportional to 3,086,470 and 6,770,564

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Solution

The third proportional to 3,086,470 and 6,770,564 is: 14,852,092.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086,470 : 6,770,564 = 6,770,564 : x
  2. Step 2: Convert to fraction form
    3,086,470/6,770,564 = 6,770,564/x
  3. Step 3: Cross multiply
    3,086,470x = 6,770,564 × 6,770,564
  4. Step 4: Simplify right side
    3,086,470x = 45,840,536,878,096
  5. Step 5: Solve for x
    x = 45,840,536,878,096/3,086,470
  6. Step 6: Final answer
    x = 14,852,092.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.