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Finding the Third Proportional to 3,102,128 and 6,561,934

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Solution

The third proportional to 3,102,128 and 6,561,934 is: 13,880,464.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102,128 : 6,561,934 = 6,561,934 : x
  2. Step 2: Convert to fraction form
    3,102,128/6,561,934 = 6,561,934/x
  3. Step 3: Cross multiply
    3,102,128x = 6,561,934 × 6,561,934
  4. Step 4: Simplify right side
    3,102,128x = 43,058,977,820,356
  5. Step 5: Solve for x
    x = 43,058,977,820,356/3,102,128
  6. Step 6: Final answer
    x = 13,880,464.58

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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.