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Finding the Third Proportional to 5,355,009 and 8,044,200

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Solution

The third proportional to 5,355,009 and 8,044,200 is: 12,083,855.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355,009 : 8,044,200 = 8,044,200 : x
  2. Step 2: Convert to fraction form
    5,355,009/8,044,200 = 8,044,200/x
  3. Step 3: Cross multiply
    5,355,009x = 8,044,200 × 8,044,200
  4. Step 4: Simplify right side
    5,355,009x = 64,709,153,640,000
  5. Step 5: Solve for x
    x = 64,709,153,640,000/5,355,009
  6. Step 6: Final answer
    x = 12,083,855.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.