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Finding the Third Proportional to 27,695,137.50 and 64,109,231.72

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Solution

The third proportional to 27,695,137.50 and 64,109,231.72 is: 148,401,270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,695,137.50 : 64,109,231.72 = 64,109,231.72 : x
  2. Step 2: Convert to fraction form
    27,695,137.50/64,109,231.72 = 64,109,231.72/x
  3. Step 3: Cross multiply
    27,695,137.50x = 64,109,231.72 × 64,109,231.72
  4. Step 4: Simplify right side
    27,695,137.50x = 4,109,993,591,568,381
  5. Step 5: Solve for x
    x = 4,109,993,591,568,381/27,695,137.50
  6. Step 6: Final answer
    x = 148,401,270.50

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.