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Finding the Third Proportional to 6,270,936 and 9,164,436

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Solution

The third proportional to 6,270,936 and 9,164,436 is: 13,393,038.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270,936 : 9,164,436 = 9,164,436 : x
  2. Step 2: Convert to fraction form
    6,270,936/9,164,436 = 9,164,436/x
  3. Step 3: Cross multiply
    6,270,936x = 9,164,436 × 9,164,436
  4. Step 4: Simplify right side
    6,270,936x = 83,986,887,198,096
  5. Step 5: Solve for x
    x = 83,986,887,198,096/6,270,936
  6. Step 6: Final answer
    x = 13,393,038.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.