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Finding the Third Proportional to 771,901,704.75 and 1,192,716,113.63

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Solution

The third proportional to 771,901,704.75 and 1,192,716,113.63 is: 1,842,944,145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,901,704.75 : 1,192,716,113.63 = 1,192,716,113.63 : x
  2. Step 2: Convert to fraction form
    771,901,704.75/1,192,716,113.63 = 1,192,716,113.63/x
  3. Step 3: Cross multiply
    771,901,704.75x = 1,192,716,113.63 × 1,192,716,113.63
  4. Step 4: Simplify right side
    771,901,704.75x = 1,422,571,727,700,723,968
  5. Step 5: Solve for x
    x = 1,422,571,727,700,723,968/771,901,704.75
  6. Step 6: Final answer
    x = 1,842,944,145.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.