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Finding the Third Proportional to 558,882,772,108 and 1,215,687,589,232

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Solution

The third proportional to 558,882,772,108 and 1,215,687,589,232 is: 2,644,376,224,084.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,882,772,108 : 1,215,687,589,232 = 1,215,687,589,232 : x
  2. Step 2: Convert to fraction form
    558,882,772,108/1,215,687,589,232 = 1,215,687,589,232/x
  3. Step 3: Cross multiply
    558,882,772,108x = 1,215,687,589,232 × 1,215,687,589,232
  4. Step 4: Simplify right side
    558,882,772,108x = 1,477,896,314,612,712,072,019,968
  5. Step 5: Solve for x
    x = 1,477,896,314,612,712,072,019,968/558,882,772,108
  6. Step 6: Final answer
    x = 2,644,376,224,084.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.