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Finding the Third Proportional to 2,164,002.33 and 3,377,018.46

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Solution

The third proportional to 2,164,002.33 and 3,377,018.46 is: 5,269,982.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164,002.33 : 3,377,018.46 = 3,377,018.46 : x
  2. Step 2: Convert to fraction form
    2,164,002.33/3,377,018.46 = 3,377,018.46/x
  3. Step 3: Cross multiply
    2,164,002.33x = 3,377,018.46 × 3,377,018.46
  4. Step 4: Simplify right side
    2,164,002.33x = 11,404,253,685,513.36
  5. Step 5: Solve for x
    x = 11,404,253,685,513.36/2,164,002.33
  6. Step 6: Final answer
    x = 5,269,982.17

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.