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Finding the Third Proportional to 3,080,286,776 and 6,725,029,664

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Solution

The third proportional to 3,080,286,776 and 6,725,029,664 is: 14,682,406,954.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080,286,776 : 6,725,029,664 = 6,725,029,664 : x
  2. Step 2: Convert to fraction form
    3,080,286,776/6,725,029,664 = 6,725,029,664/x
  3. Step 3: Cross multiply
    3,080,286,776x = 6,725,029,664 × 6,725,029,664
  4. Step 4: Simplify right side
    3,080,286,776x = 45,226,023,981,679,951,872
  5. Step 5: Solve for x
    x = 45,226,023,981,679,951,872/3,080,286,776
  6. Step 6: Final answer
    x = 14,682,406,954.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.