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Finding the Third Proportional to 24,971,285,601 and 36,079,195,455

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Solution

The third proportional to 24,971,285,601 and 36,079,195,455 is: 52,128,206,992.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,971,285,601 : 36,079,195,455 = 36,079,195,455 : x
  2. Step 2: Convert to fraction form
    24,971,285,601/36,079,195,455 = 36,079,195,455/x
  3. Step 3: Cross multiply
    24,971,285,601x = 36,079,195,455 × 36,079,195,455
  4. Step 4: Simplify right side
    24,971,285,601x = 1,301,708,344,680,092,532,736
  5. Step 5: Solve for x
    x = 1,301,708,344,680,092,532,736/24,971,285,601
  6. Step 6: Final answer
    x = 52,128,206,992.59

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.