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Finding the Third Proportional to 77,175,409,655 and 167,172,010,663

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Solution

The third proportional to 77,175,409,655 and 167,172,010,663 is: 362,116,395,287.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,175,409,655 : 167,172,010,663 = 167,172,010,663 : x
  2. Step 2: Convert to fraction form
    77,175,409,655/167,172,010,663 = 167,172,010,663/x
  3. Step 3: Cross multiply
    77,175,409,655x = 167,172,010,663 × 167,172,010,663
  4. Step 4: Simplify right side
    77,175,409,655x = 27,946,481,149,110,185,361,408
  5. Step 5: Solve for x
    x = 27,946,481,149,110,185,361,408/77,175,409,655
  6. Step 6: Final answer
    x = 362,116,395,287.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.