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Finding the Third Proportional to 51,023,798 and 78,532,950

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Solution

The third proportional to 51,023,798 and 78,532,950 is: 120,873,484.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,023,798 : 78,532,950 = 78,532,950 : x
  2. Step 2: Convert to fraction form
    51,023,798/78,532,950 = 78,532,950/x
  3. Step 3: Cross multiply
    51,023,798x = 78,532,950 × 78,532,950
  4. Step 4: Simplify right side
    51,023,798x = 6,167,424,235,702,500
  5. Step 5: Solve for x
    x = 6,167,424,235,702,500/51,023,798
  6. Step 6: Final answer
    x = 120,873,484.09

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