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Finding the Third Proportional to 24,971,285,614 and 36,079,195,472

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Solution

The third proportional to 24,971,285,614 and 36,079,195,472 is: 52,128,207,014.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,971,285,614 : 36,079,195,472 = 36,079,195,472 : x
  2. Step 2: Convert to fraction form
    24,971,285,614/36,079,195,472 = 36,079,195,472/x
  3. Step 3: Cross multiply
    24,971,285,614x = 36,079,195,472 × 36,079,195,472
  4. Step 4: Simplify right side
    24,971,285,614x = 1,301,708,345,906,785,419,264
  5. Step 5: Solve for x
    x = 1,301,708,345,906,785,419,264/24,971,285,614
  6. Step 6: Final answer
    x = 52,128,207,014.58

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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.