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Finding the Third Proportional to 6,475,128 and 9,354,663

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Solution

The third proportional to 6,475,128 and 9,354,663 is: 13,514,747.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475,128 : 9,354,663 = 9,354,663 : x
  2. Step 2: Convert to fraction form
    6,475,128/9,354,663 = 9,354,663/x
  3. Step 3: Cross multiply
    6,475,128x = 9,354,663 × 9,354,663
  4. Step 4: Simplify right side
    6,475,128x = 87,509,719,843,569
  5. Step 5: Solve for x
    x = 87,509,719,843,569/6,475,128
  6. Step 6: Final answer
    x = 13,514,747.48

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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.