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Finding the Third Proportional to 9,331,470 and 13,344,012

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Solution

The third proportional to 9,331,470 and 13,344,012 is: 19,081,951.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331,470 : 13,344,012 = 13,344,012 : x
  2. Step 2: Convert to fraction form
    9,331,470/13,344,012 = 13,344,012/x
  3. Step 3: Cross multiply
    9,331,470x = 13,344,012 × 13,344,012
  4. Step 4: Simplify right side
    9,331,470x = 178,062,656,256,144
  5. Step 5: Solve for x
    x = 178,062,656,256,144/9,331,470
  6. Step 6: Final answer
    x = 19,081,951.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.