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Finding the Third Proportional to 4,991,664 and 7,300,296

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Solution

The third proportional to 4,991,664 and 7,300,296 is: 10,676,664.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991,664 : 7,300,296 = 7,300,296 : x
  2. Step 2: Convert to fraction form
    4,991,664/7,300,296 = 7,300,296/x
  3. Step 3: Cross multiply
    4,991,664x = 7,300,296 × 7,300,296
  4. Step 4: Simplify right side
    4,991,664x = 53,294,321,687,616
  5. Step 5: Solve for x
    x = 53,294,321,687,616/4,991,664
  6. Step 6: Final answer
    x = 10,676,664.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.