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Finding the Third Proportional to 3,775,782 and 5,663,611

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Solution

The third proportional to 3,775,782 and 5,663,611 is: 8,495,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775,782 : 5,663,611 = 5,663,611 : x
  2. Step 2: Convert to fraction form
    3,775,782/5,663,611 = 5,663,611/x
  3. Step 3: Cross multiply
    3,775,782x = 5,663,611 × 5,663,611
  4. Step 4: Simplify right side
    3,775,782x = 32,076,489,559,321
  5. Step 5: Solve for x
    x = 32,076,489,559,321/3,775,782
  6. Step 6: Final answer
    x = 8,495,323.50

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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.