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Finding the Third Proportional to 3,146,047 and 6,892,347

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Solution

The third proportional to 3,146,047 and 6,892,347 is: 15,099,725.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146,047 : 6,892,347 = 6,892,347 : x
  2. Step 2: Convert to fraction form
    3,146,047/6,892,347 = 6,892,347/x
  3. Step 3: Cross multiply
    3,146,047x = 6,892,347 × 6,892,347
  4. Step 4: Simplify right side
    3,146,047x = 47,504,447,168,409
  5. Step 5: Solve for x
    x = 47,504,447,168,409/3,146,047
  6. Step 6: Final answer
    x = 15,099,725.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.