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Finding the Third Proportional to 24,392,920 and 35,914,906.50

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Solution

The third proportional to 24,392,920 and 35,914,906.50 is: 52,879,298.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,392,920 : 35,914,906.50 = 35,914,906.50 : x
  2. Step 2: Convert to fraction form
    24,392,920/35,914,906.50 = 35,914,906.50/x
  3. Step 3: Cross multiply
    24,392,920x = 35,914,906.50 × 35,914,906.50
  4. Step 4: Simplify right side
    24,392,920x = 1,289,880,508,903,742.25
  5. Step 5: Solve for x
    x = 1,289,880,508,903,742.25/24,392,920
  6. Step 6: Final answer
    x = 52,879,298.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.