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Finding the Third Proportional to 38,002,493.25 and 81,385,978.50

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Solution

The third proportional to 38,002,493.25 and 81,385,978.50 is: 174,295,866.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,002,493.25 : 81,385,978.50 = 81,385,978.50 : x
  2. Step 2: Convert to fraction form
    38,002,493.25/81,385,978.50 = 81,385,978.50/x
  3. Step 3: Cross multiply
    38,002,493.25x = 81,385,978.50 × 81,385,978.50
  4. Step 4: Simplify right side
    38,002,493.25x = 6,623,677,496,402,462
  5. Step 5: Solve for x
    x = 6,623,677,496,402,462/38,002,493.25
  6. Step 6: Final answer
    x = 174,295,866.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.