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Finding the Third Proportional to 5,306,998 and 11,371,245

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Solution

The third proportional to 5,306,998 and 11,371,245 is: 24,365,038.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306,998 : 11,371,245 = 11,371,245 : x
  2. Step 2: Convert to fraction form
    5,306,998/11,371,245 = 11,371,245/x
  3. Step 3: Cross multiply
    5,306,998x = 11,371,245 × 11,371,245
  4. Step 4: Simplify right side
    5,306,998x = 129,305,212,850,025
  5. Step 5: Solve for x
    x = 129,305,212,850,025/5,306,998
  6. Step 6: Final answer
    x = 24,365,038.93

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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.