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Finding the Third Proportional to 27,867,442.50 and 58,275,837.28

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Solution

The third proportional to 27,867,442.50 and 58,275,837.28 is: 121,865,263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,867,442.50 : 58,275,837.28 = 58,275,837.28 : x
  2. Step 2: Convert to fraction form
    27,867,442.50/58,275,837.28 = 58,275,837.28/x
  3. Step 3: Cross multiply
    27,867,442.50x = 58,275,837.28 × 58,275,837.28
  4. Step 4: Simplify right side
    27,867,442.50x = 3,396,073,210,830,727.50
  5. Step 5: Solve for x
    x = 3,396,073,210,830,727.50/27,867,442.50
  6. Step 6: Final answer
    x = 121,865,263.05

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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.