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Finding the Third Proportional to 4,163,618 and 9,284,586

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Solution

The third proportional to 4,163,618 and 9,284,586 is: 20,703,997.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163,618 : 9,284,586 = 9,284,586 : x
  2. Step 2: Convert to fraction form
    4,163,618/9,284,586 = 9,284,586/x
  3. Step 3: Cross multiply
    4,163,618x = 9,284,586 × 9,284,586
  4. Step 4: Simplify right side
    4,163,618x = 86,203,537,191,396
  5. Step 5: Solve for x
    x = 86,203,537,191,396/4,163,618
  6. Step 6: Final answer
    x = 20,703,997.63

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.