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Finding the Third Proportional to 7,678,919 and 16,420,716

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Solution

The third proportional to 7,678,919 and 16,420,716 is: 35,114,306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678,919 : 16,420,716 = 16,420,716 : x
  2. Step 2: Convert to fraction form
    7,678,919/16,420,716 = 16,420,716/x
  3. Step 3: Cross multiply
    7,678,919x = 16,420,716 × 16,420,716
  4. Step 4: Simplify right side
    7,678,919x = 269,639,913,952,656
  5. Step 5: Solve for x
    x = 269,639,913,952,656/7,678,919
  6. Step 6: Final answer
    x = 35,114,306.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.