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Finding the Third Proportional to 2,447,383 and 5,249,051

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Solution

The third proportional to 2,447,383 and 5,249,051 is: 11,257,958.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447,383 : 5,249,051 = 5,249,051 : x
  2. Step 2: Convert to fraction form
    2,447,383/5,249,051 = 5,249,051/x
  3. Step 3: Cross multiply
    2,447,383x = 5,249,051 × 5,249,051
  4. Step 4: Simplify right side
    2,447,383x = 27,552,536,400,601
  5. Step 5: Solve for x
    x = 27,552,536,400,601/2,447,383
  6. Step 6: Final answer
    x = 11,257,958.56

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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.