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Finding the Third Proportional to 13,119,834 and 28,469,781

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Solution

The third proportional to 13,119,834 and 28,469,781 is: 61,778,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,119,834 : 28,469,781 = 28,469,781 : x
  2. Step 2: Convert to fraction form
    13,119,834/28,469,781 = 28,469,781/x
  3. Step 3: Cross multiply
    13,119,834x = 28,469,781 × 28,469,781
  4. Step 4: Simplify right side
    13,119,834x = 810,528,430,187,961
  5. Step 5: Solve for x
    x = 810,528,430,187,961/13,119,834
  6. Step 6: Final answer
    x = 61,778,863.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.