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Finding the Third Proportional to 8,676,714,064 and 12,218,725,400

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Solution

The third proportional to 8,676,714,064 and 12,218,725,400 is: 17,206,657,877.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676,714,064 : 12,218,725,400 = 12,218,725,400 : x
  2. Step 2: Convert to fraction form
    8,676,714,064/12,218,725,400 = 12,218,725,400/x
  3. Step 3: Cross multiply
    8,676,714,064x = 12,218,725,400 × 12,218,725,400
  4. Step 4: Simplify right side
    8,676,714,064x = 149,297,250,400,605,175,808
  5. Step 5: Solve for x
    x = 149,297,250,400,605,175,808/8,676,714,064
  6. Step 6: Final answer
    x = 17,206,657,877.55

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