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Finding the Third Proportional to 420,622,067 and 973,663,925

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Solution

The third proportional to 420,622,067 and 973,663,925 is: 2,253,855,689.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,622,067 : 973,663,925 = 973,663,925 : x
  2. Step 2: Convert to fraction form
    420,622,067/973,663,925 = 973,663,925/x
  3. Step 3: Cross multiply
    420,622,067x = 973,663,925 × 973,663,925
  4. Step 4: Simplify right side
    420,622,067x = 948,021,438,846,405,632
  5. Step 5: Solve for x
    x = 948,021,438,846,405,632/420,622,067
  6. Step 6: Final answer
    x = 2,253,855,689.52

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.