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Finding the Third Proportional to 4,384,690,940 and 9,001,827,661

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Solution

The third proportional to 4,384,690,940 and 9,001,827,661 is: 18,480,869,540.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384,690,940 : 9,001,827,661 = 9,001,827,661 : x
  2. Step 2: Convert to fraction form
    4,384,690,940/9,001,827,661 = 9,001,827,661/x
  3. Step 3: Cross multiply
    4,384,690,940x = 9,001,827,661 × 9,001,827,661
  4. Step 4: Simplify right side
    4,384,690,940x = 81,032,901,238,344,728,576
  5. Step 5: Solve for x
    x = 81,032,901,238,344,728,576/4,384,690,940
  6. Step 6: Final answer
    x = 18,480,869,540.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.