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Finding the Third Proportional to 6,214,671,072 and 13,315,785,728

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Solution

The third proportional to 6,214,671,072 and 13,315,785,728 is: 28,530,898,498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214,671,072 : 13,315,785,728 = 13,315,785,728 : x
  2. Step 2: Convert to fraction form
    6,214,671,072/13,315,785,728 = 13,315,785,728/x
  3. Step 3: Cross multiply
    6,214,671,072x = 13,315,785,728 × 13,315,785,728
  4. Step 4: Simplify right side
    6,214,671,072x = 177,310,149,554,008,489,984
  5. Step 5: Solve for x
    x = 177,310,149,554,008,489,984/6,214,671,072
  6. Step 6: Final answer
    x = 28,530,898,498.05

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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.