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Finding the Third Proportional to 4,709,296 and 7,247,664

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Solution

The third proportional to 4,709,296 and 7,247,664 is: 11,154,243.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709,296 : 7,247,664 = 7,247,664 : x
  2. Step 2: Convert to fraction form
    4,709,296/7,247,664 = 7,247,664/x
  3. Step 3: Cross multiply
    4,709,296x = 7,247,664 × 7,247,664
  4. Step 4: Simplify right side
    4,709,296x = 52,528,633,456,896
  5. Step 5: Solve for x
    x = 52,528,633,456,896/4,709,296
  6. Step 6: Final answer
    x = 11,154,243.32

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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.