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Finding the Third Proportional to 19,037,700 and 29,002,698

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Solution

The third proportional to 19,037,700 and 29,002,698 is: 44,183,724.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,037,700 : 29,002,698 = 29,002,698 : x
  2. Step 2: Convert to fraction form
    19,037,700/29,002,698 = 29,002,698/x
  3. Step 3: Cross multiply
    19,037,700x = 29,002,698 × 29,002,698
  4. Step 4: Simplify right side
    19,037,700x = 841,156,491,279,204
  5. Step 5: Solve for x
    x = 841,156,491,279,204/19,037,700
  6. Step 6: Final answer
    x = 44,183,724.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.