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Finding the Third Proportional to 17,784,964 and 38,266,256

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Solution

The third proportional to 17,784,964 and 38,266,256 is: 82,333,950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784,964 : 38,266,256 = 38,266,256 : x
  2. Step 2: Convert to fraction form
    17,784,964/38,266,256 = 38,266,256/x
  3. Step 3: Cross multiply
    17,784,964x = 38,266,256 × 38,266,256
  4. Step 4: Simplify right side
    17,784,964x = 1,464,306,348,257,536
  5. Step 5: Solve for x
    x = 1,464,306,348,257,536/17,784,964
  6. Step 6: Final answer
    x = 82,333,950.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.