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Finding the Third Proportional to 6,334,658 and 8,606,413

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Solution

The third proportional to 6,334,658 and 8,606,413 is: 11,692,871.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334,658 : 8,606,413 = 8,606,413 : x
  2. Step 2: Convert to fraction form
    6,334,658/8,606,413 = 8,606,413/x
  3. Step 3: Cross multiply
    6,334,658x = 8,606,413 × 8,606,413
  4. Step 4: Simplify right side
    6,334,658x = 74,070,344,726,569
  5. Step 5: Solve for x
    x = 74,070,344,726,569/6,334,658
  6. Step 6: Final answer
    x = 11,692,871.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.