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Finding the Third Proportional to 5,675,644.25 and 12,611,000.50

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Solution

The third proportional to 5,675,644.25 and 12,611,000.50 is: 28,021,018.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675,644.25 : 12,611,000.50 = 12,611,000.50 : x
  2. Step 2: Convert to fraction form
    5,675,644.25/12,611,000.50 = 12,611,000.50/x
  3. Step 3: Cross multiply
    5,675,644.25x = 12,611,000.50 × 12,611,000.50
  4. Step 4: Simplify right side
    5,675,644.25x = 159,037,333,611,000.25
  5. Step 5: Solve for x
    x = 159,037,333,611,000.25/5,675,644.25
  6. Step 6: Final answer
    x = 28,021,018.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.