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Finding the Third Proportional to 6,033,314 and 8,439,429

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Solution

The third proportional to 6,033,314 and 8,439,429 is: 11,805,114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033,314 : 8,439,429 = 8,439,429 : x
  2. Step 2: Convert to fraction form
    6,033,314/8,439,429 = 8,439,429/x
  3. Step 3: Cross multiply
    6,033,314x = 8,439,429 × 8,439,429
  4. Step 4: Simplify right side
    6,033,314x = 71,223,961,846,041
  5. Step 5: Solve for x
    x = 71,223,961,846,041/6,033,314
  6. Step 6: Final answer
    x = 11,805,114.38

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.