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Finding the Third Proportional to 3,681,301.50 and 7,874,280

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Solution

The third proportional to 3,681,301.50 and 7,874,280 is: 16,843,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681,301.50 : 7,874,280 = 7,874,280 : x
  2. Step 2: Convert to fraction form
    3,681,301.50/7,874,280 = 7,874,280/x
  3. Step 3: Cross multiply
    3,681,301.50x = 7,874,280 × 7,874,280
  4. Step 4: Simplify right side
    3,681,301.50x = 62,004,285,518,400
  5. Step 5: Solve for x
    x = 62,004,285,518,400/3,681,301.50
  6. Step 6: Final answer
    x = 16,843,033.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.