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Finding the Third Proportional to 2,314,014 and 5,026,050

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Solution

The third proportional to 2,314,014 and 5,026,050 is: 10,916,605.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314,014 : 5,026,050 = 5,026,050 : x
  2. Step 2: Convert to fraction form
    2,314,014/5,026,050 = 5,026,050/x
  3. Step 3: Cross multiply
    2,314,014x = 5,026,050 × 5,026,050
  4. Step 4: Simplify right side
    2,314,014x = 25,261,178,602,500
  5. Step 5: Solve for x
    x = 25,261,178,602,500/2,314,014
  6. Step 6: Final answer
    x = 10,916,605.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.