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Finding the Third Proportional to 365,384,883,776 and 760,839,397,894

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Solution

The third proportional to 365,384,883,776 and 760,839,397,894 is: 1,584,292,659,853.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,384,883,776 : 760,839,397,894 = 760,839,397,894 : x
  2. Step 2: Convert to fraction form
    365,384,883,776/760,839,397,894 = 760,839,397,894/x
  3. Step 3: Cross multiply
    365,384,883,776x = 760,839,397,894 × 760,839,397,894
  4. Step 4: Simplify right side
    365,384,883,776x = 578,876,589,387,704,480,825,344
  5. Step 5: Solve for x
    x = 578,876,589,387,704,480,825,344/365,384,883,776
  6. Step 6: Final answer
    x = 1,584,292,659,853.40

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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.