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Finding the Third Proportional to 39,115,629 and 84,962,763

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Solution

The third proportional to 39,115,629 and 84,962,763 is: 184,546,977.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,115,629 : 84,962,763 = 84,962,763 : x
  2. Step 2: Convert to fraction form
    39,115,629/84,962,763 = 84,962,763/x
  3. Step 3: Cross multiply
    39,115,629x = 84,962,763 × 84,962,763
  4. Step 4: Simplify right side
    39,115,629x = 7,218,671,096,594,169
  5. Step 5: Solve for x
    x = 7,218,671,096,594,169/39,115,629
  6. Step 6: Final answer
    x = 184,546,977.29

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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.