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Finding the Third Proportional to 4,728,296 and 7,488,291

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Solution

The third proportional to 4,728,296 and 7,488,291 is: 11,859,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728,296 : 7,488,291 = 7,488,291 : x
  2. Step 2: Convert to fraction form
    4,728,296/7,488,291 = 7,488,291/x
  3. Step 3: Cross multiply
    4,728,296x = 7,488,291 × 7,488,291
  4. Step 4: Simplify right side
    4,728,296x = 56,074,502,100,681
  5. Step 5: Solve for x
    x = 56,074,502,100,681/4,728,296
  6. Step 6: Final answer
    x = 11,859,346.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.