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Finding the Third Proportional to 2,866,969,049,965 and 6,142,872,083,872

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Solution

The third proportional to 2,866,969,049,965 and 6,142,872,083,872 is: 13,161,940,984,076.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866,969,049,965 : 6,142,872,083,872 = 6,142,872,083,872 : x
  2. Step 2: Convert to fraction form
    2,866,969,049,965/6,142,872,083,872 = 6,142,872,083,872/x
  3. Step 3: Cross multiply
    2,866,969,049,965x = 6,142,872,083,872 × 6,142,872,083,872
  4. Step 4: Simplify right side
    2,866,969,049,965x = 37,734,877,438,813,926,619,873,280
  5. Step 5: Solve for x
    x = 37,734,877,438,813,926,619,873,280/2,866,969,049,965
  6. Step 6: Final answer
    x = 13,161,940,984,076.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.