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Finding the Third Proportional to 7,664,709 and 16,690,218

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Solution

The third proportional to 7,664,709 and 16,690,218 is: 36,343,633.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664,709 : 16,690,218 = 16,690,218 : x
  2. Step 2: Convert to fraction form
    7,664,709/16,690,218 = 16,690,218/x
  3. Step 3: Cross multiply
    7,664,709x = 16,690,218 × 16,690,218
  4. Step 4: Simplify right side
    7,664,709x = 278,563,376,887,524
  5. Step 5: Solve for x
    x = 278,563,376,887,524/7,664,709
  6. Step 6: Final answer
    x = 36,343,633.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.