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Finding the Third Proportional to 6,944,560 and 15,233,774

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Solution

The third proportional to 6,944,560 and 15,233,774 is: 33,417,217.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944,560 : 15,233,774 = 15,233,774 : x
  2. Step 2: Convert to fraction form
    6,944,560/15,233,774 = 15,233,774/x
  3. Step 3: Cross multiply
    6,944,560x = 15,233,774 × 15,233,774
  4. Step 4: Simplify right side
    6,944,560x = 232,067,870,283,076
  5. Step 5: Solve for x
    x = 232,067,870,283,076/6,944,560
  6. Step 6: Final answer
    x = 33,417,217.26

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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.