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Finding the Third Proportional to 2,182,081,946 and 4,786,626,195

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Solution

The third proportional to 2,182,081,946 and 4,786,626,195 is: 10,499,967,873.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,081,946 : 4,786,626,195 = 4,786,626,195 : x
  2. Step 2: Convert to fraction form
    2,182,081,946/4,786,626,195 = 4,786,626,195/x
  3. Step 3: Cross multiply
    2,182,081,946x = 4,786,626,195 × 4,786,626,195
  4. Step 4: Simplify right side
    2,182,081,946x = 22,911,790,330,660,179,968
  5. Step 5: Solve for x
    x = 22,911,790,330,660,179,968/2,182,081,946
  6. Step 6: Final answer
    x = 10,499,967,873.64

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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.