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Finding the Third Proportional to 879,306,643,108 and 1,904,623,172,136

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Solution

The third proportional to 879,306,643,108 and 1,904,623,172,136 is: 4,125,511,226,681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    879,306,643,108 : 1,904,623,172,136 = 1,904,623,172,136 : x
  2. Step 2: Convert to fraction form
    879,306,643,108/1,904,623,172,136 = 1,904,623,172,136/x
  3. Step 3: Cross multiply
    879,306,643,108x = 1,904,623,172,136 × 1,904,623,172,136
  4. Step 4: Simplify right side
    879,306,643,108x = 3,627,589,427,837,398,950,084,608
  5. Step 5: Solve for x
    x = 3,627,589,427,837,398,950,084,608/879,306,643,108
  6. Step 6: Final answer
    x = 4,125,511,226,681.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.