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Finding the Third Proportional to 2,463,455,882 and 5,101,529,556

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Solution

The third proportional to 2,463,455,882 and 5,101,529,556 is: 10,564,672,174.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463,455,882 : 5,101,529,556 = 5,101,529,556 : x
  2. Step 2: Convert to fraction form
    2,463,455,882/5,101,529,556 = 5,101,529,556/x
  3. Step 3: Cross multiply
    2,463,455,882x = 5,101,529,556 × 5,101,529,556
  4. Step 4: Simplify right side
    2,463,455,882x = 26,025,603,810,741,555,200
  5. Step 5: Solve for x
    x = 26,025,603,810,741,555,200/2,463,455,882
  6. Step 6: Final answer
    x = 10,564,672,174.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.