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Finding the Third Proportional to 2,846,316 and 6,099,420

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Solution

The third proportional to 2,846,316 and 6,099,420 is: 13,070,553.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846,316 : 6,099,420 = 6,099,420 : x
  2. Step 2: Convert to fraction form
    2,846,316/6,099,420 = 6,099,420/x
  3. Step 3: Cross multiply
    2,846,316x = 6,099,420 × 6,099,420
  4. Step 4: Simplify right side
    2,846,316x = 37,202,924,336,400
  5. Step 5: Solve for x
    x = 37,202,924,336,400/2,846,316
  6. Step 6: Final answer
    x = 13,070,553.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.