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Finding the Third Proportional to 31,330,395 and 45,632,200.50

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Solution

The third proportional to 31,330,395 and 45,632,200.50 is: 66,462,542.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,330,395 : 45,632,200.50 = 45,632,200.50 : x
  2. Step 2: Convert to fraction form
    31,330,395/45,632,200.50 = 45,632,200.50/x
  3. Step 3: Cross multiply
    31,330,395x = 45,632,200.50 × 45,632,200.50
  4. Step 4: Simplify right side
    31,330,395x = 2,082,297,722,472,200.25
  5. Step 5: Solve for x
    x = 2,082,297,722,472,200.25/31,330,395
  6. Step 6: Final answer
    x = 66,462,542.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.