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Finding the Third Proportional to 5,387,893.50 and 8,137,852.50

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Solution

The third proportional to 5,387,893.50 and 8,137,852.50 is: 12,291,379.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387,893.50 : 8,137,852.50 = 8,137,852.50 : x
  2. Step 2: Convert to fraction form
    5,387,893.50/8,137,852.50 = 8,137,852.50/x
  3. Step 3: Cross multiply
    5,387,893.50x = 8,137,852.50 × 8,137,852.50
  4. Step 4: Simplify right side
    5,387,893.50x = 66,224,643,311,756.25
  5. Step 5: Solve for x
    x = 66,224,643,311,756.25/5,387,893.50
  6. Step 6: Final answer
    x = 12,291,379.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.