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Finding the Third Proportional to 10,618,162 and 16,396,646

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Solution

The third proportional to 10,618,162 and 16,396,646 is: 25,319,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618,162 : 16,396,646 = 16,396,646 : x
  2. Step 2: Convert to fraction form
    10,618,162/16,396,646 = 16,396,646/x
  3. Step 3: Cross multiply
    10,618,162x = 16,396,646 × 16,396,646
  4. Step 4: Simplify right side
    10,618,162x = 268,850,000,049,316
  5. Step 5: Solve for x
    x = 268,850,000,049,316/10,618,162
  6. Step 6: Final answer
    x = 25,319,824.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.