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Finding the Third Proportional to 8,015,649.75 and 16,818,619.50

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Solution

The third proportional to 8,015,649.75 and 16,818,619.50 is: 35,289,211.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,015,649.75 : 16,818,619.50 = 16,818,619.50 : x
  2. Step 2: Convert to fraction form
    8,015,649.75/16,818,619.50 = 16,818,619.50/x
  3. Step 3: Cross multiply
    8,015,649.75x = 16,818,619.50 × 16,818,619.50
  4. Step 4: Simplify right side
    8,015,649.75x = 282,865,961,885,780.25
  5. Step 5: Solve for x
    x = 282,865,961,885,780.25/8,015,649.75
  6. Step 6: Final answer
    x = 35,289,211.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.