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Finding the Third Proportional to 6,799,974 and 14,796,228

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Solution

The third proportional to 6,799,974 and 14,796,228 is: 32,195,470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,799,974 : 14,796,228 = 14,796,228 : x
  2. Step 2: Convert to fraction form
    6,799,974/14,796,228 = 14,796,228/x
  3. Step 3: Cross multiply
    6,799,974x = 14,796,228 × 14,796,228
  4. Step 4: Simplify right side
    6,799,974x = 218,928,363,027,984
  5. Step 5: Solve for x
    x = 218,928,363,027,984/6,799,974
  6. Step 6: Final answer
    x = 32,195,470.60

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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.