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Finding the Third Proportional to 9,233,920 and 13,799,184

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Solution

The third proportional to 9,233,920 and 13,799,184 is: 20,621,521.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233,920 : 13,799,184 = 13,799,184 : x
  2. Step 2: Convert to fraction form
    9,233,920/13,799,184 = 13,799,184/x
  3. Step 3: Cross multiply
    9,233,920x = 13,799,184 × 13,799,184
  4. Step 4: Simplify right side
    9,233,920x = 190,417,479,065,856
  5. Step 5: Solve for x
    x = 190,417,479,065,856/9,233,920
  6. Step 6: Final answer
    x = 20,621,521.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.