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Finding the Third Proportional to 667,713,178 and 1,427,317,286

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Solution

The third proportional to 667,713,178 and 1,427,317,286 is: 3,051,062,495.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,713,178 : 1,427,317,286 = 1,427,317,286 : x
  2. Step 2: Convert to fraction form
    667,713,178/1,427,317,286 = 1,427,317,286/x
  3. Step 3: Cross multiply
    667,713,178x = 1,427,317,286 × 1,427,317,286
  4. Step 4: Simplify right side
    667,713,178x = 2,037,234,634,914,405,888
  5. Step 5: Solve for x
    x = 2,037,234,634,914,405,888/667,713,178
  6. Step 6: Final answer
    x = 3,051,062,495.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.