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Finding the Third Proportional to 9,106,562 and 18,578,916

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Solution

The third proportional to 9,106,562 and 18,578,916 is: 37,904,109.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106,562 : 18,578,916 = 18,578,916 : x
  2. Step 2: Convert to fraction form
    9,106,562/18,578,916 = 18,578,916/x
  3. Step 3: Cross multiply
    9,106,562x = 18,578,916 × 18,578,916
  4. Step 4: Simplify right side
    9,106,562x = 345,176,119,735,056
  5. Step 5: Solve for x
    x = 345,176,119,735,056/9,106,562
  6. Step 6: Final answer
    x = 37,904,109.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.