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Finding the Third Proportional to 5,233,578 and 11,101,278

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Solution

The third proportional to 5,233,578 and 11,101,278 is: 23,547,632.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233,578 : 11,101,278 = 11,101,278 : x
  2. Step 2: Convert to fraction form
    5,233,578/11,101,278 = 11,101,278/x
  3. Step 3: Cross multiply
    5,233,578x = 11,101,278 × 11,101,278
  4. Step 4: Simplify right side
    5,233,578x = 123,238,373,233,284
  5. Step 5: Solve for x
    x = 123,238,373,233,284/5,233,578
  6. Step 6: Final answer
    x = 23,547,632.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.