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Finding the Third Proportional to 6,035,064 and 12,933,036.75

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Solution

The third proportional to 6,035,064 and 12,933,036.75 is: 27,715,271.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,035,064 : 12,933,036.75 = 12,933,036.75 : x
  2. Step 2: Convert to fraction form
    6,035,064/12,933,036.75 = 12,933,036.75/x
  3. Step 3: Cross multiply
    6,035,064x = 12,933,036.75 × 12,933,036.75
  4. Step 4: Simplify right side
    6,035,064x = 167,263,439,576,850.56
  5. Step 5: Solve for x
    x = 167,263,439,576,850.56/6,035,064
  6. Step 6: Final answer
    x = 27,715,271.88

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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.