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Finding the Third Proportional to 41,505,828,259,800 and 86,447,069,510,566

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Solution

The third proportional to 41,505,828,259,800 and 86,447,069,510,566 is: 180,049,312,115,585.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,505,828,259,800 : 86,447,069,510,566 = 86,447,069,510,566 : x
  2. Step 2: Convert to fraction form
    41,505,828,259,800/86,447,069,510,566 = 86,447,069,510,566/x
  3. Step 3: Cross multiply
    41,505,828,259,800x = 86,447,069,510,566 × 86,447,069,510,566
  4. Step 4: Simplify right side
    41,505,828,259,800x = 7,473,095,826,964,629,242,731,560,960
  5. Step 5: Solve for x
    x = 7,473,095,826,964,629,242,731,560,960/41,505,828,259,800
  6. Step 6: Final answer
    x = 180,049,312,115,585.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.