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Finding the Third Proportional to 11,833,362,009,519 and 25,447,604,310,254

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Solution

The third proportional to 11,833,362,009,519 and 25,447,604,310,254 is: 54,724,985,562,879.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833,362,009,519 : 25,447,604,310,254 = 25,447,604,310,254 : x
  2. Step 2: Convert to fraction form
    11,833,362,009,519/25,447,604,310,254 = 25,447,604,310,254/x
  3. Step 3: Cross multiply
    11,833,362,009,519x = 25,447,604,310,254 × 25,447,604,310,254
  4. Step 4: Simplify right side
    11,833,362,009,519x = 647,580,565,131,257,916,900,245,504
  5. Step 5: Solve for x
    x = 647,580,565,131,257,916,900,245,504/11,833,362,009,519
  6. Step 6: Final answer
    x = 54,724,985,562,879.83

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1.5x scale

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.