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Finding the Third Proportional to 13,081,670,600 and 19,617,701,301

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Solution

The third proportional to 13,081,670,600 and 19,617,701,301 is: 29,419,346,817.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,081,670,600 : 19,617,701,301 = 19,617,701,301 : x
  2. Step 2: Convert to fraction form
    13,081,670,600/19,617,701,301 = 19,617,701,301/x
  3. Step 3: Cross multiply
    13,081,670,600x = 19,617,701,301 × 19,617,701,301
  4. Step 4: Simplify right side
    13,081,670,600x = 384,854,204,335,257,092,096
  5. Step 5: Solve for x
    x = 384,854,204,335,257,092,096/13,081,670,600
  6. Step 6: Final answer
    x = 29,419,346,817.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.