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Finding the Third Proportional to 6,475,108 and 9,354,640

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Solution

The third proportional to 6,475,108 and 9,354,640 is: 13,514,722.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475,108 : 9,354,640 = 9,354,640 : x
  2. Step 2: Convert to fraction form
    6,475,108/9,354,640 = 9,354,640/x
  3. Step 3: Cross multiply
    6,475,108x = 9,354,640 × 9,354,640
  4. Step 4: Simplify right side
    6,475,108x = 87,509,289,529,600
  5. Step 5: Solve for x
    x = 87,509,289,529,600/6,475,108
  6. Step 6: Final answer
    x = 13,514,722.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.