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Finding the Third Proportional to 9,150,692 and 19,719,652

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Solution

The third proportional to 9,150,692 and 19,719,652 is: 42,495,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150,692 : 19,719,652 = 19,719,652 : x
  2. Step 2: Convert to fraction form
    9,150,692/19,719,652 = 19,719,652/x
  3. Step 3: Cross multiply
    9,150,692x = 19,719,652 × 19,719,652
  4. Step 4: Simplify right side
    9,150,692x = 388,864,675,001,104
  5. Step 5: Solve for x
    x = 388,864,675,001,104/9,150,692
  6. Step 6: Final answer
    x = 42,495,657.71

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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.