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Finding the Third Proportional to 3,065,616 and 6,504,768

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Solution

The third proportional to 3,065,616 and 6,504,768 is: 13,802,122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065,616 : 6,504,768 = 6,504,768 : x
  2. Step 2: Convert to fraction form
    3,065,616/6,504,768 = 6,504,768/x
  3. Step 3: Cross multiply
    3,065,616x = 6,504,768 × 6,504,768
  4. Step 4: Simplify right side
    3,065,616x = 42,312,006,733,824
  5. Step 5: Solve for x
    x = 42,312,006,733,824/3,065,616
  6. Step 6: Final answer
    x = 13,802,122.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.