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Finding the Third Proportional to 6,914,538 and 10,147,564

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Solution

The third proportional to 6,914,538 and 10,147,564 is: 14,892,253.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914,538 : 10,147,564 = 10,147,564 : x
  2. Step 2: Convert to fraction form
    6,914,538/10,147,564 = 10,147,564/x
  3. Step 3: Cross multiply
    6,914,538x = 10,147,564 × 10,147,564
  4. Step 4: Simplify right side
    6,914,538x = 102,973,055,134,096
  5. Step 5: Solve for x
    x = 102,973,055,134,096/6,914,538
  6. Step 6: Final answer
    x = 14,892,253.85

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.