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Finding the Third Proportional to 5,801,323 and 12,294,179

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Solution

The third proportional to 5,801,323 and 12,294,179 is: 26,053,856.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801,323 : 12,294,179 = 12,294,179 : x
  2. Step 2: Convert to fraction form
    5,801,323/12,294,179 = 12,294,179/x
  3. Step 3: Cross multiply
    5,801,323x = 12,294,179 × 12,294,179
  4. Step 4: Simplify right side
    5,801,323x = 151,146,837,284,041
  5. Step 5: Solve for x
    x = 151,146,837,284,041/5,801,323
  6. Step 6: Final answer
    x = 26,053,856.56

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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.