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Finding the Third Proportional to 7,802,796.94 and 16,756,070.63

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Solution

The third proportional to 7,802,796.94 and 16,756,070.63 is: 35,982,725.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802,796.94 : 16,756,070.63 = 16,756,070.63 : x
  2. Step 2: Convert to fraction form
    7,802,796.94/16,756,070.63 = 16,756,070.63/x
  3. Step 3: Cross multiply
    7,802,796.94x = 16,756,070.63 × 16,756,070.63
  4. Step 4: Simplify right side
    7,802,796.94x = 280,765,902,789,987.88
  5. Step 5: Solve for x
    x = 280,765,902,789,987.88/7,802,796.94
  6. Step 6: Final answer
    x = 35,982,725.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.