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Finding the Third Proportional to 55,847,072,556 and 78,364,498,268.25

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Solution

The third proportional to 55,847,072,556 and 78,364,498,268.25 is: 109,960,904,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,847,072,556 : 78,364,498,268.25 = 78,364,498,268.25 : x
  2. Step 2: Convert to fraction form
    55,847,072,556/78,364,498,268.25 = 78,364,498,268.25/x
  3. Step 3: Cross multiply
    55,847,072,556x = 78,364,498,268.25 × 78,364,498,268.25
  4. Step 4: Simplify right side
    55,847,072,556x = 6,140,994,588,834,557,591,552
  5. Step 5: Solve for x
    x = 6,140,994,588,834,557,591,552/55,847,072,556
  6. Step 6: Final answer
    x = 109,960,904,086.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.