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Finding the Third Proportional to 6,489,072 and 15,021,774

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Solution

The third proportional to 6,489,072 and 15,021,774 is: 34,774,416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489,072 : 15,021,774 = 15,021,774 : x
  2. Step 2: Convert to fraction form
    6,489,072/15,021,774 = 15,021,774/x
  3. Step 3: Cross multiply
    6,489,072x = 15,021,774 × 15,021,774
  4. Step 4: Simplify right side
    6,489,072x = 225,653,694,107,076
  5. Step 5: Solve for x
    x = 225,653,694,107,076/6,489,072
  6. Step 6: Final answer
    x = 34,774,416.76

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.