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Finding the Third Proportional to 9,260,869 and 10,368,037

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Solution

The third proportional to 9,260,869 and 10,368,037 is: 11,607,570.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260,869 : 10,368,037 = 10,368,037 : x
  2. Step 2: Convert to fraction form
    9,260,869/10,368,037 = 10,368,037/x
  3. Step 3: Cross multiply
    9,260,869x = 10,368,037 × 10,368,037
  4. Step 4: Simplify right side
    9,260,869x = 107,496,191,233,369
  5. Step 5: Solve for x
    x = 107,496,191,233,369/9,260,869
  6. Step 6: Final answer
    x = 11,607,570.65

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Why These Related Problems?

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