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Finding the Third Proportional to 27,867,484.50 and 58,275,918.75

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Solution

The third proportional to 27,867,484.50 and 58,275,918.75 is: 121,865,420.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,867,484.50 : 58,275,918.75 = 58,275,918.75 : x
  2. Step 2: Convert to fraction form
    27,867,484.50/58,275,918.75 = 58,275,918.75/x
  3. Step 3: Cross multiply
    27,867,484.50x = 58,275,918.75 × 58,275,918.75
  4. Step 4: Simplify right side
    27,867,484.50x = 3,396,082,706,156,601.50
  5. Step 5: Solve for x
    x = 3,396,082,706,156,601.50/27,867,484.50
  6. Step 6: Final answer
    x = 121,865,420.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.