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Finding the Third Proportional to 2,802,646 and 6,128,768

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Solution

The third proportional to 2,802,646 and 6,128,768 is: 13,402,262.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802,646 : 6,128,768 = 6,128,768 : x
  2. Step 2: Convert to fraction form
    2,802,646/6,128,768 = 6,128,768/x
  3. Step 3: Cross multiply
    2,802,646x = 6,128,768 × 6,128,768
  4. Step 4: Simplify right side
    2,802,646x = 37,561,797,197,824
  5. Step 5: Solve for x
    x = 37,561,797,197,824/2,802,646
  6. Step 6: Final answer
    x = 13,402,262.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.