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Finding the Third Proportional to 8,611,344 and 17,616,348

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Solution

The third proportional to 8,611,344 and 17,616,348 is: 36,038,011.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,611,344 : 17,616,348 = 17,616,348 : x
  2. Step 2: Convert to fraction form
    8,611,344/17,616,348 = 17,616,348/x
  3. Step 3: Cross multiply
    8,611,344x = 17,616,348 × 17,616,348
  4. Step 4: Simplify right side
    8,611,344x = 310,335,716,857,104
  5. Step 5: Solve for x
    x = 310,335,716,857,104/8,611,344
  6. Step 6: Final answer
    x = 36,038,011.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.