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Finding the Third Proportional to 5,896,866.38 and 12,613,499.44

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Solution

The third proportional to 5,896,866.38 and 12,613,499.44 is: 26,980,494.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896,866.38 : 12,613,499.44 = 12,613,499.44 : x
  2. Step 2: Convert to fraction form
    5,896,866.38/12,613,499.44 = 12,613,499.44/x
  3. Step 3: Cross multiply
    5,896,866.38x = 12,613,499.44 × 12,613,499.44
  4. Step 4: Simplify right side
    5,896,866.38x = 159,100,368,059,812.81
  5. Step 5: Solve for x
    x = 159,100,368,059,812.81/5,896,866.38
  6. Step 6: Final answer
    x = 26,980,494.04

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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.