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Finding the Third Proportional to 6,515,646.75 and 9,739,026

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Solution

The third proportional to 6,515,646.75 and 9,739,026 is: 14,557,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515,646.75 : 9,739,026 = 9,739,026 : x
  2. Step 2: Convert to fraction form
    6,515,646.75/9,739,026 = 9,739,026/x
  3. Step 3: Cross multiply
    6,515,646.75x = 9,739,026 × 9,739,026
  4. Step 4: Simplify right side
    6,515,646.75x = 94,848,627,428,676
  5. Step 5: Solve for x
    x = 94,848,627,428,676/6,515,646.75
  6. Step 6: Final answer
    x = 14,557,054.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.