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Finding the Third Proportional to 51,165,010.50 and 78,723,690.75

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Solution

The third proportional to 51,165,010.50 and 78,723,690.75 is: 121,126,125.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,165,010.50 : 78,723,690.75 = 78,723,690.75 : x
  2. Step 2: Convert to fraction form
    51,165,010.50/78,723,690.75 = 78,723,690.75/x
  3. Step 3: Cross multiply
    51,165,010.50x = 78,723,690.75 × 78,723,690.75
  4. Step 4: Simplify right side
    51,165,010.50x = 6,197,419,485,301,636
  5. Step 5: Solve for x
    x = 6,197,419,485,301,636/51,165,010.50
  6. Step 6: Final answer
    x = 121,126,125.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.