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Finding the Third Proportional to 40,032,415 and 87,405,375

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Solution

The third proportional to 40,032,415 and 87,405,375 is: 190,837,839.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,032,415 : 87,405,375 = 87,405,375 : x
  2. Step 2: Convert to fraction form
    40,032,415/87,405,375 = 87,405,375/x
  3. Step 3: Cross multiply
    40,032,415x = 87,405,375 × 87,405,375
  4. Step 4: Simplify right side
    40,032,415x = 7,639,699,578,890,625
  5. Step 5: Solve for x
    x = 7,639,699,578,890,625/40,032,415
  6. Step 6: Final answer
    x = 190,837,839.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.