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Finding the Third Proportional to 266,179,035,624 and 591,871,904,976

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Solution

The third proportional to 266,179,035,624 and 591,871,904,976 is: 1,316,077,921,308.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,179,035,624 : 591,871,904,976 = 591,871,904,976 : x
  2. Step 2: Convert to fraction form
    266,179,035,624/591,871,904,976 = 591,871,904,976/x
  3. Step 3: Cross multiply
    266,179,035,624x = 591,871,904,976 × 591,871,904,976
  4. Step 4: Simplify right side
    266,179,035,624x = 350,312,351,899,919,182,725,120
  5. Step 5: Solve for x
    x = 350,312,351,899,919,182,725,120/266,179,035,624
  6. Step 6: Final answer
    x = 1,316,077,921,308.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.