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Finding the Third Proportional to 7,664,713 and 16,690,226

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Solution

The third proportional to 7,664,713 and 16,690,226 is: 36,343,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664,713 : 16,690,226 = 16,690,226 : x
  2. Step 2: Convert to fraction form
    7,664,713/16,690,226 = 16,690,226/x
  3. Step 3: Cross multiply
    7,664,713x = 16,690,226 × 16,690,226
  4. Step 4: Simplify right side
    7,664,713x = 278,563,643,931,076
  5. Step 5: Solve for x
    x = 278,563,643,931,076/7,664,713
  6. Step 6: Final answer
    x = 36,343,649.65

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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.