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Finding the Third Proportional to 6,581,476,956 and 14,236,435,188

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Solution

The third proportional to 6,581,476,956 and 14,236,435,188 is: 30,794,924,637.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581,476,956 : 14,236,435,188 = 14,236,435,188 : x
  2. Step 2: Convert to fraction form
    6,581,476,956/14,236,435,188 = 14,236,435,188/x
  3. Step 3: Cross multiply
    6,581,476,956x = 14,236,435,188 × 14,236,435,188
  4. Step 4: Simplify right side
    6,581,476,956x = 202,676,086,862,124,580,864
  5. Step 5: Solve for x
    x = 202,676,086,862,124,580,864/6,581,476,956
  6. Step 6: Final answer
    x = 30,794,924,637.30

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Why These Related Problems?

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