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Finding the Third Proportional to 6,181,580 and 13,596,427

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Solution

The third proportional to 6,181,580 and 13,596,427 is: 29,905,433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181,580 : 13,596,427 = 13,596,427 : x
  2. Step 2: Convert to fraction form
    6,181,580/13,596,427 = 13,596,427/x
  3. Step 3: Cross multiply
    6,181,580x = 13,596,427 × 13,596,427
  4. Step 4: Simplify right side
    6,181,580x = 184,862,827,166,329
  5. Step 5: Solve for x
    x = 184,862,827,166,329/6,181,580
  6. Step 6: Final answer
    x = 29,905,433.10

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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.