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Finding the Third Proportional to 17,732,078 and 38,293,323

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Solution

The third proportional to 17,732,078 and 38,293,323 is: 82,696,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732,078 : 38,293,323 = 38,293,323 : x
  2. Step 2: Convert to fraction form
    17,732,078/38,293,323 = 38,293,323/x
  3. Step 3: Cross multiply
    17,732,078x = 38,293,323 × 38,293,323
  4. Step 4: Simplify right side
    17,732,078x = 1,466,378,586,382,329
  5. Step 5: Solve for x
    x = 1,466,378,586,382,329/17,732,078
  6. Step 6: Final answer
    x = 82,696,375.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.