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Finding the Third Proportional to 2,871,664 and 6,264,928

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Solution

The third proportional to 2,871,664 and 6,264,928 is: 13,667,797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871,664 : 6,264,928 = 6,264,928 : x
  2. Step 2: Convert to fraction form
    2,871,664/6,264,928 = 6,264,928/x
  3. Step 3: Cross multiply
    2,871,664x = 6,264,928 × 6,264,928
  4. Step 4: Simplify right side
    2,871,664x = 39,249,322,845,184
  5. Step 5: Solve for x
    x = 39,249,322,845,184/2,871,664
  6. Step 6: Final answer
    x = 13,667,797.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.