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Finding the Third Proportional to 35,174,346.75 and 77,504,676.75

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Solution

The third proportional to 35,174,346.75 and 77,504,676.75 is: 170,777,156.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,174,346.75 : 77,504,676.75 = 77,504,676.75 : x
  2. Step 2: Convert to fraction form
    35,174,346.75/77,504,676.75 = 77,504,676.75/x
  3. Step 3: Cross multiply
    35,174,346.75x = 77,504,676.75 × 77,504,676.75
  4. Step 4: Simplify right side
    35,174,346.75x = 6,006,974,918,121,991
  5. Step 5: Solve for x
    x = 6,006,974,918,121,991/35,174,346.75
  6. Step 6: Final answer
    x = 170,777,156.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.