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Finding the Third Proportional to 6,867,342 and 14,929,197.75

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Solution

The third proportional to 6,867,342 and 14,929,197.75 is: 32,455,198.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867,342 : 14,929,197.75 = 14,929,197.75 : x
  2. Step 2: Convert to fraction form
    6,867,342/14,929,197.75 = 14,929,197.75/x
  3. Step 3: Cross multiply
    6,867,342x = 14,929,197.75 × 14,929,197.75
  4. Step 4: Simplify right side
    6,867,342x = 222,880,945,458,605.06
  5. Step 5: Solve for x
    x = 222,880,945,458,605.06/6,867,342
  6. Step 6: Final answer
    x = 32,455,198.16

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.