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Finding the Third Proportional to 8,583,616 and 12,029,120

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Solution

The third proportional to 8,583,616 and 12,029,120 is: 16,857,665.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583,616 : 12,029,120 = 12,029,120 : x
  2. Step 2: Convert to fraction form
    8,583,616/12,029,120 = 12,029,120/x
  3. Step 3: Cross multiply
    8,583,616x = 12,029,120 × 12,029,120
  4. Step 4: Simplify right side
    8,583,616x = 144,699,727,974,400
  5. Step 5: Solve for x
    x = 144,699,727,974,400/8,583,616
  6. Step 6: Final answer
    x = 16,857,665.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.