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Finding the Third Proportional to 6,286,380,470 and 10,476,669,375

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Solution

The third proportional to 6,286,380,470 and 10,476,669,375 is: 17,460,063,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286,380,470 : 10,476,669,375 = 10,476,669,375 : x
  2. Step 2: Convert to fraction form
    6,286,380,470/10,476,669,375 = 10,476,669,375/x
  3. Step 3: Cross multiply
    6,286,380,470x = 10,476,669,375 × 10,476,669,375
  4. Step 4: Simplify right side
    6,286,380,470x = 109,760,601,193,062,891,520
  5. Step 5: Solve for x
    x = 109,760,601,193,062,891,520/6,286,380,470
  6. Step 6: Final answer
    x = 17,460,063,341.20

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.