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Finding the Third Proportional to 6,181,578 and 13,596,423

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Solution

The third proportional to 6,181,578 and 13,596,423 is: 29,905,425.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181,578 : 13,596,423 = 13,596,423 : x
  2. Step 2: Convert to fraction form
    6,181,578/13,596,423 = 13,596,423/x
  3. Step 3: Cross multiply
    6,181,578x = 13,596,423 × 13,596,423
  4. Step 4: Simplify right side
    6,181,578x = 184,862,718,394,929
  5. Step 5: Solve for x
    x = 184,862,718,394,929/6,181,578
  6. Step 6: Final answer
    x = 29,905,425.18

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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.