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Finding the Third Proportional to 19,742,971 and 44,022,912

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Solution

The third proportional to 19,742,971 and 44,022,912 is: 98,162,367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,742,971 : 44,022,912 = 44,022,912 : x
  2. Step 2: Convert to fraction form
    19,742,971/44,022,912 = 44,022,912/x
  3. Step 3: Cross multiply
    19,742,971x = 44,022,912 × 44,022,912
  4. Step 4: Simplify right side
    19,742,971x = 1,938,016,780,959,744
  5. Step 5: Solve for x
    x = 1,938,016,780,959,744/19,742,971
  6. Step 6: Final answer
    x = 98,162,367.81

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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.