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Finding the Third Proportional to 8,074,532,386,704 and 17,373,716,710,974

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Solution

The third proportional to 8,074,532,386,704 and 17,373,716,710,974 is: 37,382,478,377,350.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074,532,386,704 : 17,373,716,710,974 = 17,373,716,710,974 : x
  2. Step 2: Convert to fraction form
    8,074,532,386,704/17,373,716,710,974 = 17,373,716,710,974/x
  3. Step 3: Cross multiply
    8,074,532,386,704x = 17,373,716,710,974 × 17,373,716,710,974
  4. Step 4: Simplify right side
    8,074,532,386,704x = 301,846,032,353,177,218,337,210,368
  5. Step 5: Solve for x
    x = 301,846,032,353,177,218,337,210,368/8,074,532,386,704
  6. Step 6: Final answer
    x = 37,382,478,377,350.33

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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.