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Finding the Third Proportional to 9,518,138 and 14,500,215

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Solution

The third proportional to 9,518,138 and 14,500,215 is: 22,090,059.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518,138 : 14,500,215 = 14,500,215 : x
  2. Step 2: Convert to fraction form
    9,518,138/14,500,215 = 14,500,215/x
  3. Step 3: Cross multiply
    9,518,138x = 14,500,215 × 14,500,215
  4. Step 4: Simplify right side
    9,518,138x = 210,256,235,046,225
  5. Step 5: Solve for x
    x = 210,256,235,046,225/9,518,138
  6. Step 6: Final answer
    x = 22,090,059.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.