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Finding the Third Proportional to 17,764,731 and 38,742,151.50

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Solution

The third proportional to 17,764,731 and 38,742,151.50 is: 84,490,685.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764,731 : 38,742,151.50 = 38,742,151.50 : x
  2. Step 2: Convert to fraction form
    17,764,731/38,742,151.50 = 38,742,151.50/x
  3. Step 3: Cross multiply
    17,764,731x = 38,742,151.50 × 38,742,151.50
  4. Step 4: Simplify right side
    17,764,731x = 1,500,954,302,848,952.25
  5. Step 5: Solve for x
    x = 1,500,954,302,848,952.25/17,764,731
  6. Step 6: Final answer
    x = 84,490,685.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.