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Finding the Third Proportional to 904,854,094,576 and 1,968,573,560,000

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Solution

The third proportional to 904,854,094,576 and 1,968,573,560,000 is: 4,282,769,878,990.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,854,094,576 : 1,968,573,560,000 = 1,968,573,560,000 : x
  2. Step 2: Convert to fraction form
    904,854,094,576/1,968,573,560,000 = 1,968,573,560,000/x
  3. Step 3: Cross multiply
    904,854,094,576x = 1,968,573,560,000 × 1,968,573,560,000
  4. Step 4: Simplify right side
    904,854,094,576x = 3,875,281,861,131,073,337,950,208
  5. Step 5: Solve for x
    x = 3,875,281,861,131,073,337,950,208/904,854,094,576
  6. Step 6: Final answer
    x = 4,282,769,878,990.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.