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Finding the Third Proportional to 1,285,439,151 and 1,810,181,580

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Solution

The third proportional to 1,285,439,151 and 1,810,181,580 is: 2,549,134,550.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,439,151 : 1,810,181,580 = 1,810,181,580 : x
  2. Step 2: Convert to fraction form
    1,285,439,151/1,810,181,580 = 1,810,181,580/x
  3. Step 3: Cross multiply
    1,285,439,151x = 1,810,181,580 × 1,810,181,580
  4. Step 4: Simplify right side
    1,285,439,151x = 3,276,757,352,571,296,256
  5. Step 5: Solve for x
    x = 3,276,757,352,571,296,256/1,285,439,151
  6. Step 6: Final answer
    x = 2,549,134,550.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.