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Finding the Third Proportional to 581,625,422,341 and 1,272,816,324,809

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Solution

The third proportional to 581,625,422,341 and 1,272,816,324,809 is: 2,785,403,344,612.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,625,422,341 : 1,272,816,324,809 = 1,272,816,324,809 : x
  2. Step 2: Convert to fraction form
    581,625,422,341/1,272,816,324,809 = 1,272,816,324,809/x
  3. Step 3: Cross multiply
    581,625,422,341x = 1,272,816,324,809 × 1,272,816,324,809
  4. Step 4: Simplify right side
    581,625,422,341x = 1,620,061,396,700,289,814,233,088
  5. Step 5: Solve for x
    x = 1,620,061,396,700,289,814,233,088/581,625,422,341
  6. Step 6: Final answer
    x = 2,785,403,344,612.52

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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.