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Finding the Third Proportional to 905,661,576 and 1,940,483,088

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Solution

The third proportional to 905,661,576 and 1,940,483,088 is: 4,157,706,051.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,661,576 : 1,940,483,088 = 1,940,483,088 : x
  2. Step 2: Convert to fraction form
    905,661,576/1,940,483,088 = 1,940,483,088/x
  3. Step 3: Cross multiply
    905,661,576x = 1,940,483,088 × 1,940,483,088
  4. Step 4: Simplify right side
    905,661,576x = 3,765,474,614,814,015,488
  5. Step 5: Solve for x
    x = 3,765,474,614,814,015,488/905,661,576
  6. Step 6: Final answer
    x = 4,157,706,051.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.