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Finding the Third Proportional to 13,742,752.50 and 21,259,770.75

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Solution

The third proportional to 13,742,752.50 and 21,259,770.75 is: 32,888,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,742,752.50 : 21,259,770.75 = 21,259,770.75 : x
  2. Step 2: Convert to fraction form
    13,742,752.50/21,259,770.75 = 21,259,770.75/x
  3. Step 3: Cross multiply
    13,742,752.50x = 21,259,770.75 × 21,259,770.75
  4. Step 4: Simplify right side
    13,742,752.50x = 451,977,852,342,555.56
  5. Step 5: Solve for x
    x = 451,977,852,342,555.56/13,742,752.50
  6. Step 6: Final answer
    x = 32,888,451.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.