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Finding the Third Proportional to 5,645,772 and 12,019,824

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Solution

The third proportional to 5,645,772 and 12,019,824 is: 25,590,152.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645,772 : 12,019,824 = 12,019,824 : x
  2. Step 2: Convert to fraction form
    5,645,772/12,019,824 = 12,019,824/x
  3. Step 3: Cross multiply
    5,645,772x = 12,019,824 × 12,019,824
  4. Step 4: Simplify right side
    5,645,772x = 144,476,168,990,976
  5. Step 5: Solve for x
    x = 144,476,168,990,976/5,645,772
  6. Step 6: Final answer
    x = 25,590,152.95

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.