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Finding the Third Proportional to 6,774,864 and 14,914,416

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Solution

The third proportional to 6,774,864 and 14,914,416 is: 32,833,102.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774,864 : 14,914,416 = 14,914,416 : x
  2. Step 2: Convert to fraction form
    6,774,864/14,914,416 = 14,914,416/x
  3. Step 3: Cross multiply
    6,774,864x = 14,914,416 × 14,914,416
  4. Step 4: Simplify right side
    6,774,864x = 222,439,804,621,056
  5. Step 5: Solve for x
    x = 222,439,804,621,056/6,774,864
  6. Step 6: Final answer
    x = 32,833,102.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.