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Finding the Third Proportional to 8,329,932 and 12,583,653

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Solution

The third proportional to 8,329,932 and 12,583,653 is: 19,009,557.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329,932 : 12,583,653 = 12,583,653 : x
  2. Step 2: Convert to fraction form
    8,329,932/12,583,653 = 12,583,653/x
  3. Step 3: Cross multiply
    8,329,932x = 12,583,653 × 12,583,653
  4. Step 4: Simplify right side
    8,329,932x = 158,348,322,824,409
  5. Step 5: Solve for x
    x = 158,348,322,824,409/8,329,932
  6. Step 6: Final answer
    x = 19,009,557.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.