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Finding the Third Proportional to 31,493,605.50 and 45,035,912.25

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Solution

The third proportional to 31,493,605.50 and 45,035,912.25 is: 64,401,435.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,493,605.50 : 45,035,912.25 = 45,035,912.25 : x
  2. Step 2: Convert to fraction form
    31,493,605.50/45,035,912.25 = 45,035,912.25/x
  3. Step 3: Cross multiply
    31,493,605.50x = 45,035,912.25 × 45,035,912.25
  4. Step 4: Simplify right side
    31,493,605.50x = 2,028,233,392,189,700
  5. Step 5: Solve for x
    x = 2,028,233,392,189,700/31,493,605.50
  6. Step 6: Final answer
    x = 64,401,435.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.