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Finding the Third Proportional to 70,788,987,695 and 151,675,121,839

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Solution

The third proportional to 70,788,987,695 and 151,675,121,839 is: 324,984,765,766.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,788,987,695 : 151,675,121,839 = 151,675,121,839 : x
  2. Step 2: Convert to fraction form
    70,788,987,695/151,675,121,839 = 151,675,121,839/x
  3. Step 3: Cross multiply
    70,788,987,695x = 151,675,121,839 × 151,675,121,839
  4. Step 4: Simplify right side
    70,788,987,695x = 23,005,342,584,875,492,835,328
  5. Step 5: Solve for x
    x = 23,005,342,584,875,492,835,328/70,788,987,695
  6. Step 6: Final answer
    x = 324,984,765,766.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.