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Finding the Third Proportional to 6,393,955,926,330 and 13,806,997,536,906

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Solution

The third proportional to 6,393,955,926,330 and 13,806,997,536,906 is: 29,814,591,026,364.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393,955,926,330 : 13,806,997,536,906 = 13,806,997,536,906 : x
  2. Step 2: Convert to fraction form
    6,393,955,926,330/13,806,997,536,906 = 13,806,997,536,906/x
  3. Step 3: Cross multiply
    6,393,955,926,330x = 13,806,997,536,906 × 13,806,997,536,906
  4. Step 4: Simplify right side
    6,393,955,926,330x = 190,633,180,984,128,350,720,098,304
  5. Step 5: Solve for x
    x = 190,633,180,984,128,350,720,098,304/6,393,955,926,330
  6. Step 6: Final answer
    x = 29,814,591,026,364.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.