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Finding the Third Proportional to 8,366,320 and 17,737,208

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Solution

The third proportional to 8,366,320 and 17,737,208 is: 37,604,173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366,320 : 17,737,208 = 17,737,208 : x
  2. Step 2: Convert to fraction form
    8,366,320/17,737,208 = 17,737,208/x
  3. Step 3: Cross multiply
    8,366,320x = 17,737,208 × 17,737,208
  4. Step 4: Simplify right side
    8,366,320x = 314,608,547,635,264
  5. Step 5: Solve for x
    x = 314,608,547,635,264/8,366,320
  6. Step 6: Final answer
    x = 37,604,173.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.