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Finding the Third Proportional to 7,946,910 and 12,230,392.50

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Solution

The third proportional to 7,946,910 and 12,230,392.50 is: 18,822,724.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946,910 : 12,230,392.50 = 12,230,392.50 : x
  2. Step 2: Convert to fraction form
    7,946,910/12,230,392.50 = 12,230,392.50/x
  3. Step 3: Cross multiply
    7,946,910x = 12,230,392.50 × 12,230,392.50
  4. Step 4: Simplify right side
    7,946,910x = 149,582,500,704,056.25
  5. Step 5: Solve for x
    x = 149,582,500,704,056.25/7,946,910
  6. Step 6: Final answer
    x = 18,822,724.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.