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Finding the Third Proportional to 5,860,647 and 9,056,677.50

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Solution

The third proportional to 5,860,647 and 9,056,677.50 is: 13,995,623.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,860,647 : 9,056,677.50 = 9,056,677.50 : x
  2. Step 2: Convert to fraction form
    5,860,647/9,056,677.50 = 9,056,677.50/x
  3. Step 3: Cross multiply
    5,860,647x = 9,056,677.50 × 9,056,677.50
  4. Step 4: Simplify right side
    5,860,647x = 82,023,407,339,006.25
  5. Step 5: Solve for x
    x = 82,023,407,339,006.25/5,860,647
  6. Step 6: Final answer
    x = 13,995,623.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.