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Finding the Third Proportional to 6,095,640 and 13,242,096

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Solution

The third proportional to 6,095,640 and 13,242,096 is: 28,766,972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095,640 : 13,242,096 = 13,242,096 : x
  2. Step 2: Convert to fraction form
    6,095,640/13,242,096 = 13,242,096/x
  3. Step 3: Cross multiply
    6,095,640x = 13,242,096 × 13,242,096
  4. Step 4: Simplify right side
    6,095,640x = 175,353,106,473,216
  5. Step 5: Solve for x
    x = 175,353,106,473,216/6,095,640
  6. Step 6: Final answer
    x = 28,766,972.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.