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Finding the Third Proportional to 446,775,351.75 and 973,995,402.09

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Solution

The third proportional to 446,775,351.75 and 973,995,402.09 is: 2,123,364,772.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,775,351.75 : 973,995,402.09 = 973,995,402.09 : x
  2. Step 2: Convert to fraction form
    446,775,351.75/973,995,402.09 = 973,995,402.09/x
  3. Step 3: Cross multiply
    446,775,351.75x = 973,995,402.09 × 973,995,402.09
  4. Step 4: Simplify right side
    446,775,351.75x = 948,667,043,299,765,760
  5. Step 5: Solve for x
    x = 948,667,043,299,765,760/446,775,351.75
  6. Step 6: Final answer
    x = 2,123,364,772.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.