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Finding the Third Proportional to 9,072,837 and 14,373,418.50

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Solution

The third proportional to 9,072,837 and 14,373,418.50 is: 22,770,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072,837 : 14,373,418.50 = 14,373,418.50 : x
  2. Step 2: Convert to fraction form
    9,072,837/14,373,418.50 = 14,373,418.50/x
  3. Step 3: Cross multiply
    9,072,837x = 14,373,418.50 × 14,373,418.50
  4. Step 4: Simplify right side
    9,072,837x = 206,595,159,376,142.25
  5. Step 5: Solve for x
    x = 206,595,159,376,142.25/9,072,837
  6. Step 6: Final answer
    x = 22,770,734.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.