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Finding the Third Proportional to 2,967,659,920,368 and 6,428,103,205,716

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Solution

The third proportional to 2,967,659,920,368 and 6,428,103,205,716 is: 13,923,600,389,566.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967,659,920,368 : 6,428,103,205,716 = 6,428,103,205,716 : x
  2. Step 2: Convert to fraction form
    2,967,659,920,368/6,428,103,205,716 = 6,428,103,205,716/x
  3. Step 3: Cross multiply
    2,967,659,920,368x = 6,428,103,205,716 × 6,428,103,205,716
  4. Step 4: Simplify right side
    2,967,659,920,368x = 41,320,510,823,336,311,972,167,680
  5. Step 5: Solve for x
    x = 41,320,510,823,336,311,972,167,680/2,967,659,920,368
  6. Step 6: Final answer
    x = 13,923,600,389,566.34

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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.