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Finding the Third Proportional to 12,196,184 and 24,083,920

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Solution

The third proportional to 12,196,184 and 24,083,920 is: 47,558,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196,184 : 24,083,920 = 24,083,920 : x
  2. Step 2: Convert to fraction form
    12,196,184/24,083,920 = 24,083,920/x
  3. Step 3: Cross multiply
    12,196,184x = 24,083,920 × 24,083,920
  4. Step 4: Simplify right side
    12,196,184x = 580,035,202,566,400
  5. Step 5: Solve for x
    x = 580,035,202,566,400/12,196,184
  6. Step 6: Final answer
    x = 47,558,744.81

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.