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Finding the Third Proportional to 9,167,426 and 19,427,663

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Solution

The third proportional to 9,167,426 and 19,427,663 is: 41,171,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167,426 : 19,427,663 = 19,427,663 : x
  2. Step 2: Convert to fraction form
    9,167,426/19,427,663 = 19,427,663/x
  3. Step 3: Cross multiply
    9,167,426x = 19,427,663 × 19,427,663
  4. Step 4: Simplify right side
    9,167,426x = 377,434,089,641,569
  5. Step 5: Solve for x
    x = 377,434,089,641,569/9,167,426
  6. Step 6: Final answer
    x = 41,171,217.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.