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Finding the Third Proportional to 5,416,542 and 8,414,045

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Solution

The third proportional to 5,416,542 and 8,414,045 is: 13,070,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416,542 : 8,414,045 = 8,414,045 : x
  2. Step 2: Convert to fraction form
    5,416,542/8,414,045 = 8,414,045/x
  3. Step 3: Cross multiply
    5,416,542x = 8,414,045 × 8,414,045
  4. Step 4: Simplify right side
    5,416,542x = 70,796,153,262,025
  5. Step 5: Solve for x
    x = 70,796,153,262,025/5,416,542
  6. Step 6: Final answer
    x = 13,070,359.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.