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Finding the Third Proportional to 6,472,536,012 and 14,204,919,096

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Solution

The third proportional to 6,472,536,012 and 14,204,919,096 is: 31,174,755,327.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472,536,012 : 14,204,919,096 = 14,204,919,096 : x
  2. Step 2: Convert to fraction form
    6,472,536,012/14,204,919,096 = 14,204,919,096/x
  3. Step 3: Cross multiply
    6,472,536,012x = 14,204,919,096 × 14,204,919,096
  4. Step 4: Simplify right side
    6,472,536,012x = 201,779,726,523,905,441,792
  5. Step 5: Solve for x
    x = 201,779,726,523,905,441,792/6,472,536,012
  6. Step 6: Final answer
    x = 31,174,755,327.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.