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Finding the Third Proportional to 34,224,876 and 51,343,938

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Solution

The third proportional to 34,224,876 and 51,343,938 is: 77,025,844.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,224,876 : 51,343,938 = 51,343,938 : x
  2. Step 2: Convert to fraction form
    34,224,876/51,343,938 = 51,343,938/x
  3. Step 3: Cross multiply
    34,224,876x = 51,343,938 × 51,343,938
  4. Step 4: Simplify right side
    34,224,876x = 2,636,199,969,347,844
  5. Step 5: Solve for x
    x = 2,636,199,969,347,844/34,224,876
  6. Step 6: Final answer
    x = 77,025,844.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.