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Finding the Third Proportional to 10,149,642 and 23,951,337.75

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Solution

The third proportional to 10,149,642 and 23,951,337.75 is: 56,520,868.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149,642 : 23,951,337.75 = 23,951,337.75 : x
  2. Step 2: Convert to fraction form
    10,149,642/23,951,337.75 = 23,951,337.75/x
  3. Step 3: Cross multiply
    10,149,642x = 23,951,337.75 × 23,951,337.75
  4. Step 4: Simplify right side
    10,149,642x = 573,666,580,014,575
  5. Step 5: Solve for x
    x = 573,666,580,014,575/10,149,642
  6. Step 6: Final answer
    x = 56,520,868.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.