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Finding the Third Proportional to 1,808,617,280 and 3,917,770,756

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Solution

The third proportional to 1,808,617,280 and 3,917,770,756 is: 8,486,553,714.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808,617,280 : 3,917,770,756 = 3,917,770,756 : x
  2. Step 2: Convert to fraction form
    1,808,617,280/3,917,770,756 = 3,917,770,756/x
  3. Step 3: Cross multiply
    1,808,617,280x = 3,917,770,756 × 3,917,770,756
  4. Step 4: Simplify right side
    1,808,617,280x = 15,348,927,696,568,811,520
  5. Step 5: Solve for x
    x = 15,348,927,696,568,811,520/1,808,617,280
  6. Step 6: Final answer
    x = 8,486,553,714.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.