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Finding the Third Proportional to 879,306,643,072 and 1,904,623,172,064

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Solution

The third proportional to 879,306,643,072 and 1,904,623,172,064 is: 4,125,511,226,538.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    879,306,643,072 : 1,904,623,172,064 = 1,904,623,172,064 : x
  2. Step 2: Convert to fraction form
    879,306,643,072/1,904,623,172,064 = 1,904,623,172,064/x
  3. Step 3: Cross multiply
    879,306,643,072x = 1,904,623,172,064 × 1,904,623,172,064
  4. Step 4: Simplify right side
    879,306,643,072x = 3,627,589,427,563,133,612,851,200
  5. Step 5: Solve for x
    x = 3,627,589,427,563,133,612,851,200/879,306,643,072
  6. Step 6: Final answer
    x = 4,125,511,226,538.18

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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.