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Finding the Third Proportional to 3,413,182 and 7,312,142

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Solution

The third proportional to 3,413,182 and 7,312,142 is: 15,664,977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413,182 : 7,312,142 = 7,312,142 : x
  2. Step 2: Convert to fraction form
    3,413,182/7,312,142 = 7,312,142/x
  3. Step 3: Cross multiply
    3,413,182x = 7,312,142 × 7,312,142
  4. Step 4: Simplify right side
    3,413,182x = 53,467,420,628,164
  5. Step 5: Solve for x
    x = 53,467,420,628,164/3,413,182
  6. Step 6: Final answer
    x = 15,664,977.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.