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Finding the Third Proportional to 256,368,319,589 and 376,872,802,603

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Solution

The third proportional to 256,368,319,589 and 376,872,802,603 is: 554,019,738,357.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,368,319,589 : 376,872,802,603 = 376,872,802,603 : x
  2. Step 2: Convert to fraction form
    256,368,319,589/376,872,802,603 = 376,872,802,603/x
  3. Step 3: Cross multiply
    256,368,319,589x = 376,872,802,603 × 376,872,802,603
  4. Step 4: Simplify right side
    256,368,319,589x = 142,033,109,341,839,799,877,632
  5. Step 5: Solve for x
    x = 142,033,109,341,839,799,877,632/256,368,319,589
  6. Step 6: Final answer
    x = 554,019,738,357.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.