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Finding the Third Proportional to 5,896,870.31 and 12,613,506.19

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Solution

The third proportional to 5,896,870.31 and 12,613,506.19 is: 26,980,504.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896,870.31 : 12,613,506.19 = 12,613,506.19 : x
  2. Step 2: Convert to fraction form
    5,896,870.31/12,613,506.19 = 12,613,506.19/x
  3. Step 3: Cross multiply
    5,896,870.31x = 12,613,506.19 × 12,613,506.19
  4. Step 4: Simplify right side
    5,896,870.31x = 159,100,538,342,100.78
  5. Step 5: Solve for x
    x = 159,100,538,342,100.78/5,896,870.31
  6. Step 6: Final answer
    x = 26,980,504.90

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