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Finding the Third Proportional to 5,472,565.03 and 12,667,533.05

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Solution

The third proportional to 5,472,565.03 and 12,667,533.05 is: 29,321,971.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472,565.03 : 12,667,533.05 = 12,667,533.05 : x
  2. Step 2: Convert to fraction form
    5,472,565.03/12,667,533.05 = 12,667,533.05/x
  3. Step 3: Cross multiply
    5,472,565.03x = 12,667,533.05 × 12,667,533.05
  4. Step 4: Simplify right side
    5,472,565.03x = 160,466,393,493,670.22
  5. Step 5: Solve for x
    x = 160,466,393,493,670.22/5,472,565.03
  6. Step 6: Final answer
    x = 29,321,971.06

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.