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Finding the Third Proportional to 36,499,072.50 and 56,496,085.50

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Solution

The third proportional to 36,499,072.50 and 56,496,085.50 is: 87,449,007.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,499,072.50 : 56,496,085.50 = 56,496,085.50 : x
  2. Step 2: Convert to fraction form
    36,499,072.50/56,496,085.50 = 56,496,085.50/x
  3. Step 3: Cross multiply
    36,499,072.50x = 56,496,085.50 × 56,496,085.50
  4. Step 4: Simplify right side
    36,499,072.50x = 3,191,807,676,823,310
  5. Step 5: Solve for x
    x = 3,191,807,676,823,310/36,499,072.50
  6. Step 6: Final answer
    x = 87,449,007.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.