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Finding the Third Proportional to 8,676,714,054 and 12,218,725,388

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Solution

The third proportional to 8,676,714,054 and 12,218,725,388 is: 17,206,657,863.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676,714,054 : 12,218,725,388 = 12,218,725,388 : x
  2. Step 2: Convert to fraction form
    8,676,714,054/12,218,725,388 = 12,218,725,388/x
  3. Step 3: Cross multiply
    8,676,714,054x = 12,218,725,388 × 12,218,725,388
  4. Step 4: Simplify right side
    8,676,714,054x = 149,297,250,107,355,758,592
  5. Step 5: Solve for x
    x = 149,297,250,107,355,758,592/8,676,714,054
  6. Step 6: Final answer
    x = 17,206,657,863.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.