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Finding the Third Proportional to 2,455,101 and 5,251,347

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Solution

The third proportional to 2,455,101 and 5,251,347 is: 11,232,387.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455,101 : 5,251,347 = 5,251,347 : x
  2. Step 2: Convert to fraction form
    2,455,101/5,251,347 = 5,251,347/x
  3. Step 3: Cross multiply
    2,455,101x = 5,251,347 × 5,251,347
  4. Step 4: Simplify right side
    2,455,101x = 27,576,645,314,409
  5. Step 5: Solve for x
    x = 27,576,645,314,409/2,455,101
  6. Step 6: Final answer
    x = 11,232,387.31

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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.