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Finding the Third Proportional to 5,633,184 and 12,164,208

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Solution

The third proportional to 5,633,184 and 12,164,208 is: 26,267,197.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633,184 : 12,164,208 = 12,164,208 : x
  2. Step 2: Convert to fraction form
    5,633,184/12,164,208 = 12,164,208/x
  3. Step 3: Cross multiply
    5,633,184x = 12,164,208 × 12,164,208
  4. Step 4: Simplify right side
    5,633,184x = 147,967,956,267,264
  5. Step 5: Solve for x
    x = 147,967,956,267,264/5,633,184
  6. Step 6: Final answer
    x = 26,267,197.43

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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.