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Finding the Third Proportional to 184,392,879,282 and 411,183,656,496

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Solution

The third proportional to 184,392,879,282 and 411,183,656,496 is: 916,911,759,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,392,879,282 : 411,183,656,496 = 411,183,656,496 : x
  2. Step 2: Convert to fraction form
    184,392,879,282/411,183,656,496 = 411,183,656,496/x
  3. Step 3: Cross multiply
    184,392,879,282x = 411,183,656,496 × 411,183,656,496
  4. Step 4: Simplify right side
    184,392,879,282x = 169,071,999,369,420,522,651,648
  5. Step 5: Solve for x
    x = 169,071,999,369,420,522,651,648/184,392,879,282
  6. Step 6: Final answer
    x = 916,911,759,433.25

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.