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Finding the Third Proportional to 2,833,596 and 6,114,968

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Solution

The third proportional to 2,833,596 and 6,114,968 is: 13,196,247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833,596 : 6,114,968 = 6,114,968 : x
  2. Step 2: Convert to fraction form
    2,833,596/6,114,968 = 6,114,968/x
  3. Step 3: Cross multiply
    2,833,596x = 6,114,968 × 6,114,968
  4. Step 4: Simplify right side
    2,833,596x = 37,392,833,641,024
  5. Step 5: Solve for x
    x = 37,392,833,641,024/2,833,596
  6. Step 6: Final answer
    x = 13,196,247.33

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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.