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Finding the Third Proportional to 8,259,370 and 17,714,097

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Solution

The third proportional to 8,259,370 and 17,714,097 is: 37,991,908.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259,370 : 17,714,097 = 17,714,097 : x
  2. Step 2: Convert to fraction form
    8,259,370/17,714,097 = 17,714,097/x
  3. Step 3: Cross multiply
    8,259,370x = 17,714,097 × 17,714,097
  4. Step 4: Simplify right side
    8,259,370x = 313,789,232,525,409
  5. Step 5: Solve for x
    x = 313,789,232,525,409/8,259,370
  6. Step 6: Final answer
    x = 37,991,908.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.