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Finding the Third Proportional to 19,738,719 and 44,015,989.50

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Solution

The third proportional to 19,738,719 and 44,015,989.50 is: 98,152,637.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,738,719 : 44,015,989.50 = 44,015,989.50 : x
  2. Step 2: Convert to fraction form
    19,738,719/44,015,989.50 = 44,015,989.50/x
  3. Step 3: Cross multiply
    19,738,719x = 44,015,989.50 × 44,015,989.50
  4. Step 4: Simplify right side
    19,738,719x = 1,937,407,331,664,110.25
  5. Step 5: Solve for x
    x = 1,937,407,331,664,110.25/19,738,719
  6. Step 6: Final answer
    x = 98,152,637.55

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.