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Finding the Third Proportional to 5,801,234 and 12,294,023

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Solution

The third proportional to 5,801,234 and 12,294,023 is: 26,053,595.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801,234 : 12,294,023 = 12,294,023 : x
  2. Step 2: Convert to fraction form
    5,801,234/12,294,023 = 12,294,023/x
  3. Step 3: Cross multiply
    5,801,234x = 12,294,023 × 12,294,023
  4. Step 4: Simplify right side
    5,801,234x = 151,143,001,524,529
  5. Step 5: Solve for x
    x = 151,143,001,524,529/5,801,234
  6. Step 6: Final answer
    x = 26,053,595.07

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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.