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Finding the Third Proportional to 9,260,905 and 10,368,073

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Solution

The third proportional to 9,260,905 and 10,368,073 is: 11,607,606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260,905 : 10,368,073 = 10,368,073 : x
  2. Step 2: Convert to fraction form
    9,260,905/10,368,073 = 10,368,073/x
  3. Step 3: Cross multiply
    9,260,905x = 10,368,073 × 10,368,073
  4. Step 4: Simplify right side
    9,260,905x = 107,496,937,733,329
  5. Step 5: Solve for x
    x = 107,496,937,733,329/9,260,905
  6. Step 6: Final answer
    x = 11,607,606.14

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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.