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Finding the Third Proportional to 2,223,733.50 and 4,872,969

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Solution

The third proportional to 2,223,733.50 and 4,872,969 is: 10,678,360.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223,733.50 : 4,872,969 = 4,872,969 : x
  2. Step 2: Convert to fraction form
    2,223,733.50/4,872,969 = 4,872,969/x
  3. Step 3: Cross multiply
    2,223,733.50x = 4,872,969 × 4,872,969
  4. Step 4: Simplify right side
    2,223,733.50x = 23,745,826,874,961
  5. Step 5: Solve for x
    x = 23,745,826,874,961/2,223,733.50
  6. Step 6: Final answer
    x = 10,678,360.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.