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Finding the Third Proportional to 2,182,081,941 and 4,786,626,186

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Solution

The third proportional to 2,182,081,941 and 4,786,626,186 is: 10,499,967,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,081,941 : 4,786,626,186 = 4,786,626,186 : x
  2. Step 2: Convert to fraction form
    2,182,081,941/4,786,626,186 = 4,786,626,186/x
  3. Step 3: Cross multiply
    2,182,081,941x = 4,786,626,186 × 4,786,626,186
  4. Step 4: Simplify right side
    2,182,081,941x = 22,911,790,244,500,905,984
  5. Step 5: Solve for x
    x = 22,911,790,244,500,905,984/2,182,081,941
  6. Step 6: Final answer
    x = 10,499,967,858.22

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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.