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Finding the Third Proportional to 3,101,197 and 6,570,630

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Solution

The third proportional to 3,101,197 and 6,570,630 is: 13,921,456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101,197 : 6,570,630 = 6,570,630 : x
  2. Step 2: Convert to fraction form
    3,101,197/6,570,630 = 6,570,630/x
  3. Step 3: Cross multiply
    3,101,197x = 6,570,630 × 6,570,630
  4. Step 4: Simplify right side
    3,101,197x = 43,173,178,596,900
  5. Step 5: Solve for x
    x = 43,173,178,596,900/3,101,197
  6. Step 6: Final answer
    x = 13,921,456.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.