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Finding the Third Proportional to 64,052,210,785.50 and 133,405,983,882

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Solution

The third proportional to 64,052,210,785.50 and 133,405,983,882 is: 277,853,899,455.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,052,210,785.50 : 133,405,983,882 = 133,405,983,882 : x
  2. Step 2: Convert to fraction form
    64,052,210,785.50/133,405,983,882 = 133,405,983,882/x
  3. Step 3: Cross multiply
    64,052,210,785.50x = 133,405,983,882 × 133,405,983,882
  4. Step 4: Simplify right side
    64,052,210,785.50x = 17,797,156,535,524,443,291,648
  5. Step 5: Solve for x
    x = 17,797,156,535,524,443,291,648/64,052,210,785.50
  6. Step 6: Final answer
    x = 277,853,899,455.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.