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Finding the Third Proportional to 8,198,784 and 12,086,208

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Solution

The third proportional to 8,198,784 and 12,086,208 is: 17,816,840.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198,784 : 12,086,208 = 12,086,208 : x
  2. Step 2: Convert to fraction form
    8,198,784/12,086,208 = 12,086,208/x
  3. Step 3: Cross multiply
    8,198,784x = 12,086,208 × 12,086,208
  4. Step 4: Simplify right side
    8,198,784x = 146,076,423,819,264
  5. Step 5: Solve for x
    x = 146,076,423,819,264/8,198,784
  6. Step 6: Final answer
    x = 17,816,840.13

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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.