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Finding the Third Proportional to 4,156,769 and 8,932,378

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Solution

The third proportional to 4,156,769 and 8,932,378 is: 19,194,565.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156,769 : 8,932,378 = 8,932,378 : x
  2. Step 2: Convert to fraction form
    4,156,769/8,932,378 = 8,932,378/x
  3. Step 3: Cross multiply
    4,156,769x = 8,932,378 × 8,932,378
  4. Step 4: Simplify right side
    4,156,769x = 79,787,376,734,884
  5. Step 5: Solve for x
    x = 79,787,376,734,884/4,156,769
  6. Step 6: Final answer
    x = 19,194,565.96

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Why These Related Problems?

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