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Finding the Third Proportional to 7,509,084 and 11,632,558

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Solution

The third proportional to 7,509,084 and 11,632,558 is: 18,020,361.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509,084 : 11,632,558 = 11,632,558 : x
  2. Step 2: Convert to fraction form
    7,509,084/11,632,558 = 11,632,558/x
  3. Step 3: Cross multiply
    7,509,084x = 11,632,558 × 11,632,558
  4. Step 4: Simplify right side
    7,509,084x = 135,316,405,623,364
  5. Step 5: Solve for x
    x = 135,316,405,623,364/7,509,084
  6. Step 6: Final answer
    x = 18,020,361.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.