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Finding the Third Proportional to 6,478,006 and 14,176,367

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Solution

The third proportional to 6,478,006 and 14,176,367 is: 31,023,339.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478,006 : 14,176,367 = 14,176,367 : x
  2. Step 2: Convert to fraction form
    6,478,006/14,176,367 = 14,176,367/x
  3. Step 3: Cross multiply
    6,478,006x = 14,176,367 × 14,176,367
  4. Step 4: Simplify right side
    6,478,006x = 200,969,381,318,689
  5. Step 5: Solve for x
    x = 200,969,381,318,689/6,478,006
  6. Step 6: Final answer
    x = 31,023,339.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.