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Finding the Third Proportional to 6,472,536,014 and 14,204,919,100

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Solution

The third proportional to 6,472,536,014 and 14,204,919,100 is: 31,174,755,335.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472,536,014 : 14,204,919,100 = 14,204,919,100 : x
  2. Step 2: Convert to fraction form
    6,472,536,014/14,204,919,100 = 14,204,919,100/x
  3. Step 3: Cross multiply
    6,472,536,014x = 14,204,919,100 × 14,204,919,100
  4. Step 4: Simplify right side
    6,472,536,014x = 201,779,726,637,544,800,256
  5. Step 5: Solve for x
    x = 201,779,726,637,544,800,256/6,472,536,014
  6. Step 6: Final answer
    x = 31,174,755,335.64

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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.