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Finding the Third Proportional to 7,846,164 and 16,894,630

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Solution

The third proportional to 7,846,164 and 16,894,630 is: 36,378,097.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846,164 : 16,894,630 = 16,894,630 : x
  2. Step 2: Convert to fraction form
    7,846,164/16,894,630 = 16,894,630/x
  3. Step 3: Cross multiply
    7,846,164x = 16,894,630 × 16,894,630
  4. Step 4: Simplify right side
    7,846,164x = 285,428,522,836,900
  5. Step 5: Solve for x
    x = 285,428,522,836,900/7,846,164
  6. Step 6: Final answer
    x = 36,378,097.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.