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Finding the Third Proportional to 9,871,974 and 22,012,542

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Solution

The third proportional to 9,871,974 and 22,012,542 is: 49,083,598.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871,974 : 22,012,542 = 22,012,542 : x
  2. Step 2: Convert to fraction form
    9,871,974/22,012,542 = 22,012,542/x
  3. Step 3: Cross multiply
    9,871,974x = 22,012,542 × 22,012,542
  4. Step 4: Simplify right side
    9,871,974x = 484,552,005,301,764
  5. Step 5: Solve for x
    x = 484,552,005,301,764/9,871,974
  6. Step 6: Final answer
    x = 49,083,598.20

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.