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Finding the Third Proportional to 4,080,106.69 and 6,172,636.64

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Solution

The third proportional to 4,080,106.69 and 6,172,636.64 is: 9,338,344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,080,106.69 : 6,172,636.64 = 6,172,636.64 : x
  2. Step 2: Convert to fraction form
    4,080,106.69/6,172,636.64 = 6,172,636.64/x
  3. Step 3: Cross multiply
    4,080,106.69x = 6,172,636.64 × 6,172,636.64
  4. Step 4: Simplify right side
    4,080,106.69x = 38,101,443,097,186.29
  5. Step 5: Solve for x
    x = 38,101,443,097,186.29/4,080,106.69
  6. Step 6: Final answer
    x = 9,338,344.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.