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Finding the Third Proportional to 4,004,133.75 and 8,638,123.50

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Solution

The third proportional to 4,004,133.75 and 8,638,123.50 is: 18,635,036.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,004,133.75 : 8,638,123.50 = 8,638,123.50 : x
  2. Step 2: Convert to fraction form
    4,004,133.75/8,638,123.50 = 8,638,123.50/x
  3. Step 3: Cross multiply
    4,004,133.75x = 8,638,123.50 × 8,638,123.50
  4. Step 4: Simplify right side
    4,004,133.75x = 74,617,177,601,252.25
  5. Step 5: Solve for x
    x = 74,617,177,601,252.25/4,004,133.75
  6. Step 6: Final answer
    x = 18,635,036.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.