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Finding the Third Proportional to 6,413,667 and 13,358,046

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Solution

The third proportional to 6,413,667 and 13,358,046 is: 27,821,430.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413,667 : 13,358,046 = 13,358,046 : x
  2. Step 2: Convert to fraction form
    6,413,667/13,358,046 = 13,358,046/x
  3. Step 3: Cross multiply
    6,413,667x = 13,358,046 × 13,358,046
  4. Step 4: Simplify right side
    6,413,667x = 178,437,392,938,116
  5. Step 5: Solve for x
    x = 178,437,392,938,116/6,413,667
  6. Step 6: Final answer
    x = 27,821,430.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.