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Finding the Third Proportional to 827,228,011.50 and 1,792,322,316

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Solution

The third proportional to 827,228,011.50 and 1,792,322,316 is: 3,883,354,093.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,228,011.50 : 1,792,322,316 = 1,792,322,316 : x
  2. Step 2: Convert to fraction form
    827,228,011.50/1,792,322,316 = 1,792,322,316/x
  3. Step 3: Cross multiply
    827,228,011.50x = 1,792,322,316 × 1,792,322,316
  4. Step 4: Simplify right side
    827,228,011.50x = 3,212,419,284,431,603,712
  5. Step 5: Solve for x
    x = 3,212,419,284,431,603,712/827,228,011.50
  6. Step 6: Final answer
    x = 3,883,354,093.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.