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Finding the Third Proportional to 3,894,174,840 and 9,183,464,216

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Solution

The third proportional to 3,894,174,840 and 9,183,464,216 is: 21,656,966,744.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894,174,840 : 9,183,464,216 = 9,183,464,216 : x
  2. Step 2: Convert to fraction form
    3,894,174,840/9,183,464,216 = 9,183,464,216/x
  3. Step 3: Cross multiply
    3,894,174,840x = 9,183,464,216 × 9,183,464,216
  4. Step 4: Simplify right side
    3,894,174,840x = 84,336,015,006,552,489,984
  5. Step 5: Solve for x
    x = 84,336,015,006,552,489,984/3,894,174,840
  6. Step 6: Final answer
    x = 21,656,966,744.35

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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.