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Finding the Third Proportional to 1,862,161,058 and 3,103,471,911

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Solution

The third proportional to 1,862,161,058 and 3,103,471,911 is: 5,172,236,773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862,161,058 : 3,103,471,911 = 3,103,471,911 : x
  2. Step 2: Convert to fraction form
    1,862,161,058/3,103,471,911 = 3,103,471,911/x
  3. Step 3: Cross multiply
    1,862,161,058x = 3,103,471,911 × 3,103,471,911
  4. Step 4: Simplify right side
    1,862,161,058x = 9,631,537,902,365,990,912
  5. Step 5: Solve for x
    x = 9,631,537,902,365,990,912/1,862,161,058
  6. Step 6: Final answer
    x = 5,172,236,773.50

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.