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Finding the Third Proportional to 19,742,968.50 and 44,022,907.50

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Solution

The third proportional to 19,742,968.50 and 44,022,907.50 is: 98,162,360.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,742,968.50 : 44,022,907.50 = 44,022,907.50 : x
  2. Step 2: Convert to fraction form
    19,742,968.50/44,022,907.50 = 44,022,907.50/x
  3. Step 3: Cross multiply
    19,742,968.50x = 44,022,907.50 × 44,022,907.50
  4. Step 4: Simplify right side
    19,742,968.50x = 1,938,016,384,753,556.25
  5. Step 5: Solve for x
    x = 1,938,016,384,753,556.25/19,742,968.50
  6. Step 6: Final answer
    x = 98,162,360.17

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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.