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Finding the Third Proportional to 2,957,852 and 6,364,032

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Solution

The third proportional to 2,957,852 and 6,364,032 is: 13,692,674.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957,852 : 6,364,032 = 6,364,032 : x
  2. Step 2: Convert to fraction form
    2,957,852/6,364,032 = 6,364,032/x
  3. Step 3: Cross multiply
    2,957,852x = 6,364,032 × 6,364,032
  4. Step 4: Simplify right side
    2,957,852x = 40,500,903,297,024
  5. Step 5: Solve for x
    x = 40,500,903,297,024/2,957,852
  6. Step 6: Final answer
    x = 13,692,674.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.