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Finding the Third Proportional to 3,670,153.50 and 5,643,771

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Solution

The third proportional to 3,670,153.50 and 5,643,771 is: 8,678,697.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670,153.50 : 5,643,771 = 5,643,771 : x
  2. Step 2: Convert to fraction form
    3,670,153.50/5,643,771 = 5,643,771/x
  3. Step 3: Cross multiply
    3,670,153.50x = 5,643,771 × 5,643,771
  4. Step 4: Simplify right side
    3,670,153.50x = 31,852,151,100,441
  5. Step 5: Solve for x
    x = 31,852,151,100,441/3,670,153.50
  6. Step 6: Final answer
    x = 8,678,697.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.