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Finding the Third Proportional to 288,022,538 and 621,081,076

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Solution

The third proportional to 288,022,538 and 621,081,076 is: 1,339,276,105.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,022,538 : 621,081,076 = 621,081,076 : x
  2. Step 2: Convert to fraction form
    288,022,538/621,081,076 = 621,081,076/x
  3. Step 3: Cross multiply
    288,022,538x = 621,081,076 × 621,081,076
  4. Step 4: Simplify right side
    288,022,538x = 385,741,702,965,317,760
  5. Step 5: Solve for x
    x = 385,741,702,965,317,760/288,022,538
  6. Step 6: Final answer
    x = 1,339,276,105.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.