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Finding the Third Proportional to 9,260,857 and 10,368,025

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Solution

The third proportional to 9,260,857 and 10,368,025 is: 11,607,558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260,857 : 10,368,025 = 10,368,025 : x
  2. Step 2: Convert to fraction form
    9,260,857/10,368,025 = 10,368,025/x
  3. Step 3: Cross multiply
    9,260,857x = 10,368,025 × 10,368,025
  4. Step 4: Simplify right side
    9,260,857x = 107,495,942,400,625
  5. Step 5: Solve for x
    x = 107,495,942,400,625/9,260,857
  6. Step 6: Final answer
    x = 11,607,558.83

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These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.