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Finding the Third Proportional to 23,687,074,997.50 and 52,670,241,888.50

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Solution

The third proportional to 23,687,074,997.50 and 52,670,241,888.50 is: 117,116,798,122.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,687,074,997.50 : 52,670,241,888.50 = 52,670,241,888.50 : x
  2. Step 2: Convert to fraction form
    23,687,074,997.50/52,670,241,888.50 = 52,670,241,888.50/x
  3. Step 3: Cross multiply
    23,687,074,997.50x = 52,670,241,888.50 × 52,670,241,888.50
  4. Step 4: Simplify right side
    23,687,074,997.50x = 2,774,154,380,593,099,964,416
  5. Step 5: Solve for x
    x = 2,774,154,380,593,099,964,416/23,687,074,997.50
  6. Step 6: Final answer
    x = 117,116,798,122.43

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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.