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Finding the Third Proportional to 5,896,868 and 12,613,502.50

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Solution

The third proportional to 5,896,868 and 12,613,502.50 is: 26,980,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896,868 : 12,613,502.50 = 12,613,502.50 : x
  2. Step 2: Convert to fraction form
    5,896,868/12,613,502.50 = 12,613,502.50/x
  3. Step 3: Cross multiply
    5,896,868x = 12,613,502.50 × 12,613,502.50
  4. Step 4: Simplify right side
    5,896,868x = 159,100,445,317,506.25
  5. Step 5: Solve for x
    x = 159,100,445,317,506.25/5,896,868
  6. Step 6: Final answer
    x = 26,980,499.70

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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.