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Finding the Third Proportional to 2,679,536.32 and 5,704,721.16

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Solution

The third proportional to 2,679,536.32 and 5,704,721.16 is: 12,145,326.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679,536.32 : 5,704,721.16 = 5,704,721.16 : x
  2. Step 2: Convert to fraction form
    2,679,536.32/5,704,721.16 = 5,704,721.16/x
  3. Step 3: Cross multiply
    2,679,536.32x = 5,704,721.16 × 5,704,721.16
  4. Step 4: Simplify right side
    2,679,536.32x = 32,543,843,470,566.34
  5. Step 5: Solve for x
    x = 32,543,843,470,566.34/2,679,536.32
  6. Step 6: Final answer
    x = 12,145,326.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.