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Finding the Third Proportional to 68,519,046,822 and 104,747,952,798

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Solution

The third proportional to 68,519,046,822 and 104,747,952,798 is: 160,132,607,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,519,046,822 : 104,747,952,798 = 104,747,952,798 : x
  2. Step 2: Convert to fraction form
    68,519,046,822/104,747,952,798 = 104,747,952,798/x
  3. Step 3: Cross multiply
    68,519,046,822x = 104,747,952,798 × 104,747,952,798
  4. Step 4: Simplify right side
    68,519,046,822x = 10,972,133,615,372,035,162,112
  5. Step 5: Solve for x
    x = 10,972,133,615,372,035,162,112/68,519,046,822
  6. Step 6: Final answer
    x = 160,132,607,271.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.