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Finding the Third Proportional to 12,767,900 and 20,326,086

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Solution

The third proportional to 12,767,900 and 20,326,086 is: 32,358,474.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767,900 : 20,326,086 = 20,326,086 : x
  2. Step 2: Convert to fraction form
    12,767,900/20,326,086 = 20,326,086/x
  3. Step 3: Cross multiply
    12,767,900x = 20,326,086 × 20,326,086
  4. Step 4: Simplify right side
    12,767,900x = 413,149,772,079,396
  5. Step 5: Solve for x
    x = 413,149,772,079,396/12,767,900
  6. Step 6: Final answer
    x = 32,358,474.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.