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Finding the Third Proportional to 5,147,609 and 11,191,618

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Solution

The third proportional to 5,147,609 and 11,191,618 is: 24,332,134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147,609 : 11,191,618 = 11,191,618 : x
  2. Step 2: Convert to fraction form
    5,147,609/11,191,618 = 11,191,618/x
  3. Step 3: Cross multiply
    5,147,609x = 11,191,618 × 11,191,618
  4. Step 4: Simplify right side
    5,147,609x = 125,252,313,457,924
  5. Step 5: Solve for x
    x = 125,252,313,457,924/5,147,609
  6. Step 6: Final answer
    x = 24,332,134.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.