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Finding the Third Proportional to 3,894,174,842 and 9,183,464,221

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Solution

The third proportional to 3,894,174,842 and 9,183,464,221 is: 21,656,966,756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894,174,842 : 9,183,464,221 = 9,183,464,221 : x
  2. Step 2: Convert to fraction form
    3,894,174,842/9,183,464,221 = 9,183,464,221/x
  3. Step 3: Cross multiply
    3,894,174,842x = 9,183,464,221 × 9,183,464,221
  4. Step 4: Simplify right side
    3,894,174,842x = 84,336,015,098,387,136,512
  5. Step 5: Solve for x
    x = 84,336,015,098,387,136,512/3,894,174,842
  6. Step 6: Final answer
    x = 21,656,966,756.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.