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Finding the Third Proportional to 2,219,665.78 and 4,871,377.97

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Solution

The third proportional to 2,219,665.78 and 4,871,377.97 is: 10,690,944.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219,665.78 : 4,871,377.97 = 4,871,377.97 : x
  2. Step 2: Convert to fraction form
    2,219,665.78/4,871,377.97 = 4,871,377.97/x
  3. Step 3: Cross multiply
    2,219,665.78x = 4,871,377.97 × 4,871,377.97
  4. Step 4: Simplify right side
    2,219,665.78x = 23,730,323,314,422.88
  5. Step 5: Solve for x
    x = 23,730,323,314,422.88/2,219,665.78
  6. Step 6: Final answer
    x = 10,690,944.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.