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Finding the Third Proportional to 47,733,720 and 103,073,676

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Solution

The third proportional to 47,733,720 and 103,073,676 is: 222,571,856.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,733,720 : 103,073,676 = 103,073,676 : x
  2. Step 2: Convert to fraction form
    47,733,720/103,073,676 = 103,073,676/x
  3. Step 3: Cross multiply
    47,733,720x = 103,073,676 × 103,073,676
  4. Step 4: Simplify right side
    47,733,720x = 10,624,182,684,152,976
  5. Step 5: Solve for x
    x = 10,624,182,684,152,976/47,733,720
  6. Step 6: Final answer
    x = 222,571,856.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.