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Finding the Third Proportional to 27,035,943.75 and 58,102,066.13

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Solution

The third proportional to 27,035,943.75 and 58,102,066.13 is: 124,865,257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,035,943.75 : 58,102,066.13 = 58,102,066.13 : x
  2. Step 2: Convert to fraction form
    27,035,943.75/58,102,066.13 = 58,102,066.13/x
  3. Step 3: Cross multiply
    27,035,943.75x = 58,102,066.13 × 58,102,066.13
  4. Step 4: Simplify right side
    27,035,943.75x = 3,375,850,087,993,872.50
  5. Step 5: Solve for x
    x = 3,375,850,087,993,872.50/27,035,943.75
  6. Step 6: Final answer
    x = 124,865,257.87

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