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Finding the Third Proportional to 5,542,294.64 and 11,903,837.20

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Solution

The third proportional to 5,542,294.64 and 11,903,837.20 is: 25,567,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542,294.64 : 11,903,837.20 = 11,903,837.20 : x
  2. Step 2: Convert to fraction form
    5,542,294.64/11,903,837.20 = 11,903,837.20/x
  3. Step 3: Cross multiply
    5,542,294.64x = 11,903,837.20 × 11,903,837.20
  4. Step 4: Simplify right side
    5,542,294.64x = 141,701,340,158,502.81
  5. Step 5: Solve for x
    x = 141,701,340,158,502.81/5,542,294.64
  6. Step 6: Final answer
    x = 25,567,269.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.