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Finding the Third Proportional to 23,638,723 and 51,761,477

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Solution

The third proportional to 23,638,723 and 51,761,477 is: 113,341,592.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,638,723 : 51,761,477 = 51,761,477 : x
  2. Step 2: Convert to fraction form
    23,638,723/51,761,477 = 51,761,477/x
  3. Step 3: Cross multiply
    23,638,723x = 51,761,477 × 51,761,477
  4. Step 4: Simplify right side
    23,638,723x = 2,679,250,501,221,529
  5. Step 5: Solve for x
    x = 2,679,250,501,221,529/23,638,723
  6. Step 6: Final answer
    x = 113,341,592.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.