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Finding the Third Proportional to 6,465,833.72 and 10,775,939.34

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Solution

The third proportional to 6,465,833.72 and 10,775,939.34 is: 17,959,148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465,833.72 : 10,775,939.34 = 10,775,939.34 : x
  2. Step 2: Convert to fraction form
    6,465,833.72/10,775,939.34 = 10,775,939.34/x
  3. Step 3: Cross multiply
    6,465,833.72x = 10,775,939.34 × 10,775,939.34
  4. Step 4: Simplify right side
    6,465,833.72x = 116,120,868,740,179.19
  5. Step 5: Solve for x
    x = 116,120,868,740,179.19/6,465,833.72
  6. Step 6: Final answer
    x = 17,959,148.63

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.