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Finding the Third Proportional to 34,489,837 and 47,954,863.50

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Solution

The third proportional to 34,489,837 and 47,954,863.50 is: 66,676,712.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,489,837 : 47,954,863.50 = 47,954,863.50 : x
  2. Step 2: Convert to fraction form
    34,489,837/47,954,863.50 = 47,954,863.50/x
  3. Step 3: Cross multiply
    34,489,837x = 47,954,863.50 × 47,954,863.50
  4. Step 4: Simplify right side
    34,489,837x = 2,299,668,933,303,632
  5. Step 5: Solve for x
    x = 2,299,668,933,303,632/34,489,837
  6. Step 6: Final answer
    x = 66,676,712.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.