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Finding the Third Proportional to 1,650,460,270 and 2,469,147,026

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Solution

The third proportional to 1,650,460,270 and 2,469,147,026 is: 3,693,931,412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650,460,270 : 2,469,147,026 = 2,469,147,026 : x
  2. Step 2: Convert to fraction form
    1,650,460,270/2,469,147,026 = 2,469,147,026/x
  3. Step 3: Cross multiply
    1,650,460,270x = 2,469,147,026 × 2,469,147,026
  4. Step 4: Simplify right side
    1,650,460,270x = 6,096,687,036,004,644,864
  5. Step 5: Solve for x
    x = 6,096,687,036,004,644,864/1,650,460,270
  6. Step 6: Final answer
    x = 3,693,931,412.24

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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.