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Finding the Third Proportional to 8,676,714,052 and 12,218,725,381

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Solution

The third proportional to 8,676,714,052 and 12,218,725,381 is: 17,206,657,847.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676,714,052 : 12,218,725,381 = 12,218,725,381 : x
  2. Step 2: Convert to fraction form
    8,676,714,052/12,218,725,381 = 12,218,725,381/x
  3. Step 3: Cross multiply
    8,676,714,052x = 12,218,725,381 × 12,218,725,381
  4. Step 4: Simplify right side
    8,676,714,052x = 149,297,249,936,293,593,088
  5. Step 5: Solve for x
    x = 149,297,249,936,293,593,088/8,676,714,052
  6. Step 6: Final answer
    x = 17,206,657,847.84

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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.