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Finding the Third Proportional to 6,166,798 and 13,563,782

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Solution

The third proportional to 6,166,798 and 13,563,782 is: 29,833,340.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166,798 : 13,563,782 = 13,563,782 : x
  2. Step 2: Convert to fraction form
    6,166,798/13,563,782 = 13,563,782/x
  3. Step 3: Cross multiply
    6,166,798x = 13,563,782 × 13,563,782
  4. Step 4: Simplify right side
    6,166,798x = 183,976,182,143,524
  5. Step 5: Solve for x
    x = 183,976,182,143,524/6,166,798
  6. Step 6: Final answer
    x = 29,833,340.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.