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Finding the Third Proportional to 4,745,223 and 7,353,787.50

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Solution

The third proportional to 4,745,223 and 7,353,787.50 is: 11,396,343.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745,223 : 7,353,787.50 = 7,353,787.50 : x
  2. Step 2: Convert to fraction form
    4,745,223/7,353,787.50 = 7,353,787.50/x
  3. Step 3: Cross multiply
    4,745,223x = 7,353,787.50 × 7,353,787.50
  4. Step 4: Simplify right side
    4,745,223x = 54,078,190,595,156.25
  5. Step 5: Solve for x
    x = 54,078,190,595,156.25/4,745,223
  6. Step 6: Final answer
    x = 11,396,343.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.