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Finding the Third Proportional to 44,684,811 and 96,423,662

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Solution

The third proportional to 44,684,811 and 96,423,662 is: 208,068,969.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,684,811 : 96,423,662 = 96,423,662 : x
  2. Step 2: Convert to fraction form
    44,684,811/96,423,662 = 96,423,662/x
  3. Step 3: Cross multiply
    44,684,811x = 96,423,662 × 96,423,662
  4. Step 4: Simplify right side
    44,684,811x = 9,297,522,593,490,244
  5. Step 5: Solve for x
    x = 9,297,522,593,490,244/44,684,811
  6. Step 6: Final answer
    x = 208,068,969.87

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Why These Related Problems?

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