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Finding the Third Proportional to 2,862,692 and 6,173,753

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Solution

The third proportional to 2,862,692 and 6,173,753 is: 13,314,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862,692 : 6,173,753 = 6,173,753 : x
  2. Step 2: Convert to fraction form
    2,862,692/6,173,753 = 6,173,753/x
  3. Step 3: Cross multiply
    2,862,692x = 6,173,753 × 6,173,753
  4. Step 4: Simplify right side
    2,862,692x = 38,115,226,105,009
  5. Step 5: Solve for x
    x = 38,115,226,105,009/2,862,692
  6. Step 6: Final answer
    x = 13,314,469.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.