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Finding the Third Proportional to 6,974,144 and 15,049,242

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Solution

The third proportional to 6,974,144 and 15,049,242 is: 32,474,191.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974,144 : 15,049,242 = 15,049,242 : x
  2. Step 2: Convert to fraction form
    6,974,144/15,049,242 = 15,049,242/x
  3. Step 3: Cross multiply
    6,974,144x = 15,049,242 × 15,049,242
  4. Step 4: Simplify right side
    6,974,144x = 226,479,684,774,564
  5. Step 5: Solve for x
    x = 226,479,684,774,564/6,974,144
  6. Step 6: Final answer
    x = 32,474,191.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.