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Finding the Third Proportional to 9,144,150 and 19,664,652

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Solution

The third proportional to 9,144,150 and 19,664,652 is: 42,289,172.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144,150 : 19,664,652 = 19,664,652 : x
  2. Step 2: Convert to fraction form
    9,144,150/19,664,652 = 19,664,652/x
  3. Step 3: Cross multiply
    9,144,150x = 19,664,652 × 19,664,652
  4. Step 4: Simplify right side
    9,144,150x = 386,698,538,281,104
  5. Step 5: Solve for x
    x = 386,698,538,281,104/9,144,150
  6. Step 6: Final answer
    x = 42,289,172.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.