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Finding the Third Proportional to 6,413,664 and 13,358,040

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Solution

The third proportional to 6,413,664 and 13,358,040 is: 27,821,418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413,664 : 13,358,040 = 13,358,040 : x
  2. Step 2: Convert to fraction form
    6,413,664/13,358,040 = 13,358,040/x
  3. Step 3: Cross multiply
    6,413,664x = 13,358,040 × 13,358,040
  4. Step 4: Simplify right side
    6,413,664x = 178,437,232,641,600
  5. Step 5: Solve for x
    x = 178,437,232,641,600/6,413,664
  6. Step 6: Final answer
    x = 27,821,418.87

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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.