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Finding the Third Proportional to 1,291,976,259 and 2,834,081,910

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Solution

The third proportional to 1,291,976,259 and 2,834,081,910 is: 6,216,848,194.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291,976,259 : 2,834,081,910 = 2,834,081,910 : x
  2. Step 2: Convert to fraction form
    1,291,976,259/2,834,081,910 = 2,834,081,910/x
  3. Step 3: Cross multiply
    1,291,976,259x = 2,834,081,910 × 2,834,081,910
  4. Step 4: Simplify right side
    1,291,976,259x = 8,032,020,272,589,248,512
  5. Step 5: Solve for x
    x = 8,032,020,272,589,248,512/1,291,976,259
  6. Step 6: Final answer
    x = 6,216,848,194.10

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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.