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Finding the Third Proportional to 965,789,653.50 and 2,092,024,765

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Solution

The third proportional to 965,789,653.50 and 2,092,024,765 is: 4,531,595,054.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,789,653.50 : 2,092,024,765 = 2,092,024,765 : x
  2. Step 2: Convert to fraction form
    965,789,653.50/2,092,024,765 = 2,092,024,765/x
  3. Step 3: Cross multiply
    965,789,653.50x = 2,092,024,765 × 2,092,024,765
  4. Step 4: Simplify right side
    965,789,653.50x = 4,376,567,617,373,305,344
  5. Step 5: Solve for x
    x = 4,376,567,617,373,305,344/965,789,653.50
  6. Step 6: Final answer
    x = 4,531,595,054.38

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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.