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Finding the Third Proportional to 23,687,074,999 and 52,670,241,885

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Solution

The third proportional to 23,687,074,999 and 52,670,241,885 is: 117,116,798,099.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,687,074,999 : 52,670,241,885 = 52,670,241,885 : x
  2. Step 2: Convert to fraction form
    23,687,074,999/52,670,241,885 = 52,670,241,885/x
  3. Step 3: Cross multiply
    23,687,074,999x = 52,670,241,885 × 52,670,241,885
  4. Step 4: Simplify right side
    23,687,074,999x = 2,774,154,380,224,408,584,192
  5. Step 5: Solve for x
    x = 2,774,154,380,224,408,584,192/23,687,074,999
  6. Step 6: Final answer
    x = 117,116,798,099.45

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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.