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Finding the Third Proportional to 3,048,808 and 6,517,664

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Solution

The third proportional to 3,048,808 and 6,517,664 is: 13,933,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048,808 : 6,517,664 = 6,517,664 : x
  2. Step 2: Convert to fraction form
    3,048,808/6,517,664 = 6,517,664/x
  3. Step 3: Cross multiply
    3,048,808x = 6,517,664 × 6,517,664
  4. Step 4: Simplify right side
    3,048,808x = 42,479,944,016,896
  5. Step 5: Solve for x
    x = 42,479,944,016,896/3,048,808
  6. Step 6: Final answer
    x = 13,933,295.90

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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.