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Finding the Third Proportional to 7,522,640 and 11,460,222

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Solution

The third proportional to 7,522,640 and 11,460,222 is: 17,458,855.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522,640 : 11,460,222 = 11,460,222 : x
  2. Step 2: Convert to fraction form
    7,522,640/11,460,222 = 11,460,222/x
  3. Step 3: Cross multiply
    7,522,640x = 11,460,222 × 11,460,222
  4. Step 4: Simplify right side
    7,522,640x = 131,336,688,289,284
  5. Step 5: Solve for x
    x = 131,336,688,289,284/7,522,640
  6. Step 6: Final answer
    x = 17,458,855.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.