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Finding the Third Proportional to 5,673,138 and 8,489,656.50

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Solution

The third proportional to 5,673,138 and 8,489,656.50 is: 12,704,479.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673,138 : 8,489,656.50 = 8,489,656.50 : x
  2. Step 2: Convert to fraction form
    5,673,138/8,489,656.50 = 8,489,656.50/x
  3. Step 3: Cross multiply
    5,673,138x = 8,489,656.50 × 8,489,656.50
  4. Step 4: Simplify right side
    5,673,138x = 72,074,267,487,992.25
  5. Step 5: Solve for x
    x = 72,074,267,487,992.25/5,673,138
  6. Step 6: Final answer
    x = 12,704,479.86

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