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Finding the Third Proportional to 17,660,726,300.25 and 27,145,802,531.25

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Solution

The third proportional to 17,660,726,300.25 and 27,145,802,531.25 is: 41,725,044,742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,660,726,300.25 : 27,145,802,531.25 = 27,145,802,531.25 : x
  2. Step 2: Convert to fraction form
    17,660,726,300.25/27,145,802,531.25 = 27,145,802,531.25/x
  3. Step 3: Cross multiply
    17,660,726,300.25x = 27,145,802,531.25 × 27,145,802,531.25
  4. Step 4: Simplify right side
    17,660,726,300.25x = 736,894,595,065,618,890,752
  5. Step 5: Solve for x
    x = 736,894,595,065,618,890,752/17,660,726,300.25
  6. Step 6: Final answer
    x = 41,725,044,742.65

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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.