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Finding the Third Proportional to 904,854,094,578 and 1,968,573,560,004

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Solution

The third proportional to 904,854,094,578 and 1,968,573,560,004 is: 4,282,769,878,998.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,854,094,578 : 1,968,573,560,004 = 1,968,573,560,004 : x
  2. Step 2: Convert to fraction form
    904,854,094,578/1,968,573,560,004 = 1,968,573,560,004/x
  3. Step 3: Cross multiply
    904,854,094,578x = 1,968,573,560,004 × 1,968,573,560,004
  4. Step 4: Simplify right side
    904,854,094,578x = 3,875,281,861,146,822,446,153,728
  5. Step 5: Solve for x
    x = 3,875,281,861,146,822,446,153,728/904,854,094,578
  6. Step 6: Final answer
    x = 4,282,769,878,998.17

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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.