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Finding the Third Proportional to 5,801,242 and 12,294,038

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Solution

The third proportional to 5,801,242 and 12,294,038 is: 26,053,622.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801,242 : 12,294,038 = 12,294,038 : x
  2. Step 2: Convert to fraction form
    5,801,242/12,294,038 = 12,294,038/x
  3. Step 3: Cross multiply
    5,801,242x = 12,294,038 × 12,294,038
  4. Step 4: Simplify right side
    5,801,242x = 151,143,370,345,444
  5. Step 5: Solve for x
    x = 151,143,370,345,444/5,801,242
  6. Step 6: Final answer
    x = 26,053,622.71

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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.