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Finding the Third Proportional to 31,179,725,280 and 73,578,571,344

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Solution

The third proportional to 31,179,725,280 and 73,578,571,344 is: 173,632,259,822.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,179,725,280 : 73,578,571,344 = 73,578,571,344 : x
  2. Step 2: Convert to fraction form
    31,179,725,280/73,578,571,344 = 73,578,571,344/x
  3. Step 3: Cross multiply
    31,179,725,280x = 73,578,571,344 × 73,578,571,344
  4. Step 4: Simplify right side
    31,179,725,280x = 5,413,806,161,024,097,714,176
  5. Step 5: Solve for x
    x = 5,413,806,161,024,097,714,176/31,179,725,280
  6. Step 6: Final answer
    x = 173,632,259,822.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.