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Finding the Third Proportional to 2,182,081,962 and 4,786,626,228

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Solution

The third proportional to 2,182,081,962 and 4,786,626,228 is: 10,499,967,941.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,081,962 : 4,786,626,228 = 4,786,626,228 : x
  2. Step 2: Convert to fraction form
    2,182,081,962/4,786,626,228 = 4,786,626,228/x
  3. Step 3: Cross multiply
    2,182,081,962x = 4,786,626,228 × 4,786,626,228
  4. Step 4: Simplify right side
    2,182,081,962x = 22,911,790,646,577,508,352
  5. Step 5: Solve for x
    x = 22,911,790,646,577,508,352/2,182,081,962
  6. Step 6: Final answer
    x = 10,499,967,941.43

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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.