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Finding the Third Proportional to 2,182,081,943 and 4,786,626,190

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Solution

The third proportional to 2,182,081,943 and 4,786,626,190 is: 10,499,967,866.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,081,943 : 4,786,626,190 = 4,786,626,190 : x
  2. Step 2: Convert to fraction form
    2,182,081,943/4,786,626,190 = 4,786,626,190/x
  3. Step 3: Cross multiply
    2,182,081,943x = 4,786,626,190 × 4,786,626,190
  4. Step 4: Simplify right side
    2,182,081,943x = 22,911,790,282,793,914,368
  5. Step 5: Solve for x
    x = 22,911,790,282,793,914,368/2,182,081,943
  6. Step 6: Final answer
    x = 10,499,967,866.14

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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.