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Finding the Third Proportional to 23,854,356,997.50 and 51,897,466,347

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Solution

The third proportional to 23,854,356,997.50 and 51,897,466,347 is: 112,907,969,538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,854,356,997.50 : 51,897,466,347 = 51,897,466,347 : x
  2. Step 2: Convert to fraction form
    23,854,356,997.50/51,897,466,347 = 51,897,466,347/x
  3. Step 3: Cross multiply
    23,854,356,997.50x = 51,897,466,347 × 51,897,466,347
  4. Step 4: Simplify right side
    23,854,356,997.50x = 2,693,347,013,237,997,568,000
  5. Step 5: Solve for x
    x = 2,693,347,013,237,997,568,000/23,854,356,997.50
  6. Step 6: Final answer
    x = 112,907,969,538.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.