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Finding the Third Proportional to 64,015,266.94 and 137,741,018.91

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Solution

The third proportional to 64,015,266.94 and 137,741,018.91 is: 296,375,992.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,015,266.94 : 137,741,018.91 = 137,741,018.91 : x
  2. Step 2: Convert to fraction form
    64,015,266.94/137,741,018.91 = 137,741,018.91/x
  3. Step 3: Cross multiply
    64,015,266.94x = 137,741,018.91 × 137,741,018.91
  4. Step 4: Simplify right side
    64,015,266.94x = 18,972,588,289,331,920
  5. Step 5: Solve for x
    x = 18,972,588,289,331,920/64,015,266.94
  6. Step 6: Final answer
    x = 296,375,992.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.