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Finding the Third Proportional to 17,660,726,284 and 27,145,802,507

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Solution

The third proportional to 17,660,726,284 and 27,145,802,507 is: 41,725,044,706.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,660,726,284 : 27,145,802,507 = 27,145,802,507 : x
  2. Step 2: Convert to fraction form
    17,660,726,284/27,145,802,507 = 27,145,802,507/x
  3. Step 3: Cross multiply
    17,660,726,284x = 27,145,802,507 × 27,145,802,507
  4. Step 4: Simplify right side
    17,660,726,284x = 736,894,593,749,047,443,456
  5. Step 5: Solve for x
    x = 736,894,593,749,047,443,456/17,660,726,284
  6. Step 6: Final answer
    x = 41,725,044,706.49

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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.