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Finding the Third Proportional to 1,291,976,203 and 2,834,081,781

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Solution

The third proportional to 1,291,976,203 and 2,834,081,781 is: 6,216,847,897.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291,976,203 : 2,834,081,781 = 2,834,081,781 : x
  2. Step 2: Convert to fraction form
    1,291,976,203/2,834,081,781 = 2,834,081,781/x
  3. Step 3: Cross multiply
    1,291,976,203x = 2,834,081,781 × 2,834,081,781
  4. Step 4: Simplify right side
    1,291,976,203x = 8,032,019,541,396,131,840
  5. Step 5: Solve for x
    x = 8,032,019,541,396,131,840/1,291,976,203
  6. Step 6: Final answer
    x = 6,216,847,897.62

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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.