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Finding the Third Proportional to 1,255,567,309 and 1,959,642,269

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Solution

The third proportional to 1,255,567,309 and 1,959,642,269 is: 3,058,536,005.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255,567,309 : 1,959,642,269 = 1,959,642,269 : x
  2. Step 2: Convert to fraction form
    1,255,567,309/1,959,642,269 = 1,959,642,269/x
  3. Step 3: Cross multiply
    1,255,567,309x = 1,959,642,269 × 1,959,642,269
  4. Step 4: Simplify right side
    1,255,567,309x = 3,840,197,822,451,468,288
  5. Step 5: Solve for x
    x = 3,840,197,822,451,468,288/1,255,567,309
  6. Step 6: Final answer
    x = 3,058,536,005.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.