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Finding the Third Proportional to 11,127,264.75 and 23,724,288

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Solution

The third proportional to 11,127,264.75 and 23,724,288 is: 50,582,227.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,127,264.75 : 23,724,288 = 23,724,288 : x
  2. Step 2: Convert to fraction form
    11,127,264.75/23,724,288 = 23,724,288/x
  3. Step 3: Cross multiply
    11,127,264.75x = 23,724,288 × 23,724,288
  4. Step 4: Simplify right side
    11,127,264.75x = 562,841,841,106,944
  5. Step 5: Solve for x
    x = 562,841,841,106,944/11,127,264.75
  6. Step 6: Final answer
    x = 50,582,227.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.