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Finding the Third Proportional to 3,177,314 and 6,913,732

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Solution

The third proportional to 3,177,314 and 6,913,732 is: 15,044,056.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177,314 : 6,913,732 = 6,913,732 : x
  2. Step 2: Convert to fraction form
    3,177,314/6,913,732 = 6,913,732/x
  3. Step 3: Cross multiply
    3,177,314x = 6,913,732 × 6,913,732
  4. Step 4: Simplify right side
    3,177,314x = 47,799,690,167,824
  5. Step 5: Solve for x
    x = 47,799,690,167,824/3,177,314
  6. Step 6: Final answer
    x = 15,044,056.13

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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.