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Finding the Third Proportional to 8,133,999.75 and 17,714,700

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Solution

The third proportional to 8,133,999.75 and 17,714,700 is: 38,580,108.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133,999.75 : 17,714,700 = 17,714,700 : x
  2. Step 2: Convert to fraction form
    8,133,999.75/17,714,700 = 17,714,700/x
  3. Step 3: Cross multiply
    8,133,999.75x = 17,714,700 × 17,714,700
  4. Step 4: Simplify right side
    8,133,999.75x = 313,810,596,090,000
  5. Step 5: Solve for x
    x = 313,810,596,090,000/8,133,999.75
  6. Step 6: Final answer
    x = 38,580,108.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.