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Finding the Third Proportional to 36,907,524 and 86,232,633

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Solution

The third proportional to 36,907,524 and 86,232,633 is: 201,478,348.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,907,524 : 86,232,633 = 86,232,633 : x
  2. Step 2: Convert to fraction form
    36,907,524/86,232,633 = 86,232,633/x
  3. Step 3: Cross multiply
    36,907,524x = 86,232,633 × 86,232,633
  4. Step 4: Simplify right side
    36,907,524x = 7,436,066,994,112,689
  5. Step 5: Solve for x
    x = 7,436,066,994,112,689/36,907,524
  6. Step 6: Final answer
    x = 201,478,348.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.