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Finding the Third Proportional to 17,660,726,301 and 27,145,802,535

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Solution

The third proportional to 17,660,726,301 and 27,145,802,535 is: 41,725,044,752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,660,726,301 : 27,145,802,535 = 27,145,802,535 : x
  2. Step 2: Convert to fraction form
    17,660,726,301/27,145,802,535 = 27,145,802,535/x
  3. Step 3: Cross multiply
    17,660,726,301x = 27,145,802,535 × 27,145,802,535
  4. Step 4: Simplify right side
    17,660,726,301x = 736,894,595,269,212,372,992
  5. Step 5: Solve for x
    x = 736,894,595,269,212,372,992/17,660,726,301
  6. Step 6: Final answer
    x = 41,725,044,752.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.