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Finding the Third Proportional to 5,896,875.94 and 12,613,517.44

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Solution

The third proportional to 5,896,875.94 and 12,613,517.44 is: 26,980,527.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896,875.94 : 12,613,517.44 = 12,613,517.44 : x
  2. Step 2: Convert to fraction form
    5,896,875.94/12,613,517.44 = 12,613,517.44/x
  3. Step 3: Cross multiply
    5,896,875.94x = 12,613,517.44 × 12,613,517.44
  4. Step 4: Simplify right side
    5,896,875.94x = 159,100,822,146,116.56
  5. Step 5: Solve for x
    x = 159,100,822,146,116.56/5,896,875.94
  6. Step 6: Final answer
    x = 26,980,527.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.