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Finding the Third Proportional to 8,509,731 and 12,734,514

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Solution

The third proportional to 8,509,731 and 12,734,514 is: 19,056,753.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509,731 : 12,734,514 = 12,734,514 : x
  2. Step 2: Convert to fraction form
    8,509,731/12,734,514 = 12,734,514/x
  3. Step 3: Cross multiply
    8,509,731x = 12,734,514 × 12,734,514
  4. Step 4: Simplify right side
    8,509,731x = 162,167,846,816,196
  5. Step 5: Solve for x
    x = 162,167,846,816,196/8,509,731
  6. Step 6: Final answer
    x = 19,056,753.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.