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Finding the Third Proportional to 55,847,072,555 and 78,364,498,266

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Solution

The third proportional to 55,847,072,555 and 78,364,498,266 is: 109,960,904,082.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,847,072,555 : 78,364,498,266 = 78,364,498,266 : x
  2. Step 2: Convert to fraction form
    55,847,072,555/78,364,498,266 = 78,364,498,266/x
  3. Step 3: Cross multiply
    55,847,072,555x = 78,364,498,266 × 78,364,498,266
  4. Step 4: Simplify right side
    55,847,072,555x = 6,140,994,588,481,917,288,448
  5. Step 5: Solve for x
    x = 6,140,994,588,481,917,288,448/55,847,072,555
  6. Step 6: Final answer
    x = 109,960,904,082.02

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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.