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Finding the Third Proportional to 1,296,012,960 and 2,838,203,712

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Solution

The third proportional to 1,296,012,960 and 2,838,203,712 is: 6,215,524,504.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,012,960 : 2,838,203,712 = 2,838,203,712 : x
  2. Step 2: Convert to fraction form
    1,296,012,960/2,838,203,712 = 2,838,203,712/x
  3. Step 3: Cross multiply
    1,296,012,960x = 2,838,203,712 × 2,838,203,712
  4. Step 4: Simplify right side
    1,296,012,960x = 8,055,400,310,810,578,944
  5. Step 5: Solve for x
    x = 8,055,400,310,810,578,944/1,296,012,960
  6. Step 6: Final answer
    x = 6,215,524,504.33

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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.