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Finding the Third Proportional to 4,729,023 and 7,489,395

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Solution

The third proportional to 4,729,023 and 7,489,395 is: 11,861,020.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729,023 : 7,489,395 = 7,489,395 : x
  2. Step 2: Convert to fraction form
    4,729,023/7,489,395 = 7,489,395/x
  3. Step 3: Cross multiply
    4,729,023x = 7,489,395 × 7,489,395
  4. Step 4: Simplify right side
    4,729,023x = 56,091,037,466,025
  5. Step 5: Solve for x
    x = 56,091,037,466,025/4,729,023
  6. Step 6: Final answer
    x = 11,861,020.23

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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.