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Finding the Third Proportional to 6,214,671,117 and 13,315,785,822

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Solution

The third proportional to 6,214,671,117 and 13,315,785,822 is: 28,530,898,694.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214,671,117 : 13,315,785,822 = 13,315,785,822 : x
  2. Step 2: Convert to fraction form
    6,214,671,117/13,315,785,822 = 13,315,785,822/x
  3. Step 3: Cross multiply
    6,214,671,117x = 13,315,785,822 × 13,315,785,822
  4. Step 4: Simplify right side
    6,214,671,117x = 177,310,152,057,376,210,944
  5. Step 5: Solve for x
    x = 177,310,152,057,376,210,944/6,214,671,117
  6. Step 6: Final answer
    x = 28,530,898,694.28

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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.