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Finding the Third Proportional to 6,142,748 and 13,365,874

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Solution

The third proportional to 6,142,748 and 13,365,874 is: 29,082,519.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142,748 : 13,365,874 = 13,365,874 : x
  2. Step 2: Convert to fraction form
    6,142,748/13,365,874 = 13,365,874/x
  3. Step 3: Cross multiply
    6,142,748x = 13,365,874 × 13,365,874
  4. Step 4: Simplify right side
    6,142,748x = 178,646,587,783,876
  5. Step 5: Solve for x
    x = 178,646,587,783,876/6,142,748
  6. Step 6: Final answer
    x = 29,082,519.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.