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Finding the Third Proportional to 420,622,074 and 973,663,939

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Solution

The third proportional to 420,622,074 and 973,663,939 is: 2,253,855,716.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,622,074 : 973,663,939 = 973,663,939 : x
  2. Step 2: Convert to fraction form
    420,622,074/973,663,939 = 973,663,939/x
  3. Step 3: Cross multiply
    420,622,074x = 973,663,939 × 973,663,939
  4. Step 4: Simplify right side
    420,622,074x = 948,021,466,108,995,712
  5. Step 5: Solve for x
    x = 948,021,466,108,995,712/420,622,074
  6. Step 6: Final answer
    x = 2,253,855,716.83

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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.