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Finding the Third Proportional to 31,984,932 and 45,584,981

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Solution

The third proportional to 31,984,932 and 45,584,981 is: 64,967,794.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,984,932 : 45,584,981 = 45,584,981 : x
  2. Step 2: Convert to fraction form
    31,984,932/45,584,981 = 45,584,981/x
  3. Step 3: Cross multiply
    31,984,932x = 45,584,981 × 45,584,981
  4. Step 4: Simplify right side
    31,984,932x = 2,077,990,492,770,361
  5. Step 5: Solve for x
    x = 2,077,990,492,770,361/31,984,932
  6. Step 6: Final answer
    x = 64,967,794.61

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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.