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Finding the Third Proportional to 11,833,362,009,516 and 25,447,604,310,249

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Solution

The third proportional to 11,833,362,009,516 and 25,447,604,310,249 is: 54,724,985,562,872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833,362,009,516 : 25,447,604,310,249 = 25,447,604,310,249 : x
  2. Step 2: Convert to fraction form
    11,833,362,009,516/25,447,604,310,249 = 25,447,604,310,249/x
  3. Step 3: Cross multiply
    11,833,362,009,516x = 25,447,604,310,249 × 25,447,604,310,249
  4. Step 4: Simplify right side
    11,833,362,009,516x = 647,580,565,131,003,517,397,368,832
  5. Step 5: Solve for x
    x = 647,580,565,131,003,517,397,368,832/11,833,362,009,516
  6. Step 6: Final answer
    x = 54,724,985,562,872.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.