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Finding the Third Proportional to 9,021,949.31 and 21,051,942.19

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Solution

The third proportional to 9,021,949.31 and 21,051,942.19 is: 49,122,895.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021,949.31 : 21,051,942.19 = 21,051,942.19 : x
  2. Step 2: Convert to fraction form
    9,021,949.31/21,051,942.19 = 21,051,942.19/x
  3. Step 3: Cross multiply
    9,021,949.31x = 21,051,942.19 × 21,051,942.19
  4. Step 4: Simplify right side
    9,021,949.31x = 443,184,269,865,842.31
  5. Step 5: Solve for x
    x = 443,184,269,865,842.31/9,021,949.31
  6. Step 6: Final answer
    x = 49,122,895.12

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.