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Finding the Third Proportional to 6,877,492 and 14,313,176

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Solution

The third proportional to 6,877,492 and 14,313,176 is: 29,788,040.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877,492 : 14,313,176 = 14,313,176 : x
  2. Step 2: Convert to fraction form
    6,877,492/14,313,176 = 14,313,176/x
  3. Step 3: Cross multiply
    6,877,492x = 14,313,176 × 14,313,176
  4. Step 4: Simplify right side
    6,877,492x = 204,867,007,206,976
  5. Step 5: Solve for x
    x = 204,867,007,206,976/6,877,492
  6. Step 6: Final answer
    x = 29,788,040.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.