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Finding the Third Proportional to 6,933,168 and 15,459,566

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Solution

The third proportional to 6,933,168 and 15,459,566 is: 34,471,713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,933,168 : 15,459,566 = 15,459,566 : x
  2. Step 2: Convert to fraction form
    6,933,168/15,459,566 = 15,459,566/x
  3. Step 3: Cross multiply
    6,933,168x = 15,459,566 × 15,459,566
  4. Step 4: Simplify right side
    6,933,168x = 238,998,180,908,356
  5. Step 5: Solve for x
    x = 238,998,180,908,356/6,933,168
  6. Step 6: Final answer
    x = 34,471,713.49

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.