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Finding the Third Proportional to 18,728,468,118 and 27,059,402,092.50

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Solution

The third proportional to 18,728,468,118 and 27,059,402,092.50 is: 39,096,162,963.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,728,468,118 : 27,059,402,092.50 = 27,059,402,092.50 : x
  2. Step 2: Convert to fraction form
    18,728,468,118/27,059,402,092.50 = 27,059,402,092.50/x
  3. Step 3: Cross multiply
    18,728,468,118x = 27,059,402,092.50 × 27,059,402,092.50
  4. Step 4: Simplify right side
    18,728,468,118x = 732,211,241,603,593,404,416
  5. Step 5: Solve for x
    x = 732,211,241,603,593,404,416/18,728,468,118
  6. Step 6: Final answer
    x = 39,096,162,963.80

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.