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Finding the Third Proportional to 8,259,416 and 18,114,208

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Solution

The third proportional to 8,259,416 and 18,114,208 is: 39,727,328.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259,416 : 18,114,208 = 18,114,208 : x
  2. Step 2: Convert to fraction form
    8,259,416/18,114,208 = 18,114,208/x
  3. Step 3: Cross multiply
    8,259,416x = 18,114,208 × 18,114,208
  4. Step 4: Simplify right side
    8,259,416x = 328,124,531,467,264
  5. Step 5: Solve for x
    x = 328,124,531,467,264/8,259,416
  6. Step 6: Final answer
    x = 39,727,328.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.