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Finding the Third Proportional to 23,687,074,982 and 52,670,241,858

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Solution

The third proportional to 23,687,074,982 and 52,670,241,858 is: 117,116,798,063.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,687,074,982 : 52,670,241,858 = 52,670,241,858 : x
  2. Step 2: Convert to fraction form
    23,687,074,982/52,670,241,858 = 52,670,241,858/x
  3. Step 3: Cross multiply
    23,687,074,982x = 52,670,241,858 × 52,670,241,858
  4. Step 4: Simplify right side
    23,687,074,982x = 2,774,154,377,380,215,390,208
  5. Step 5: Solve for x
    x = 2,774,154,377,380,215,390,208/23,687,074,982
  6. Step 6: Final answer
    x = 117,116,798,063.43

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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.