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Finding the Third Proportional to 6,840,288 and 14,452,992

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Solution

The third proportional to 6,840,288 and 14,452,992 is: 30,538,038.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840,288 : 14,452,992 = 14,452,992 : x
  2. Step 2: Convert to fraction form
    6,840,288/14,452,992 = 14,452,992/x
  3. Step 3: Cross multiply
    6,840,288x = 14,452,992 × 14,452,992
  4. Step 4: Simplify right side
    6,840,288x = 208,888,977,752,064
  5. Step 5: Solve for x
    x = 208,888,977,752,064/6,840,288
  6. Step 6: Final answer
    x = 30,538,038.42

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.