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Finding the Third Proportional to 2,627,024 and 5,673,184

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Solution

The third proportional to 2,627,024 and 5,673,184 is: 12,251,512.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627,024 : 5,673,184 = 5,673,184 : x
  2. Step 2: Convert to fraction form
    2,627,024/5,673,184 = 5,673,184/x
  3. Step 3: Cross multiply
    2,627,024x = 5,673,184 × 5,673,184
  4. Step 4: Simplify right side
    2,627,024x = 32,185,016,697,856
  5. Step 5: Solve for x
    x = 32,185,016,697,856/2,627,024
  6. Step 6: Final answer
    x = 12,251,512.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.