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Finding the Third Proportional to 5,997,043.50 and 8,770,641.75

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Solution

The third proportional to 5,997,043.50 and 8,770,641.75 is: 12,827,013.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997,043.50 : 8,770,641.75 = 8,770,641.75 : x
  2. Step 2: Convert to fraction form
    5,997,043.50/8,770,641.75 = 8,770,641.75/x
  3. Step 3: Cross multiply
    5,997,043.50x = 8,770,641.75 × 8,770,641.75
  4. Step 4: Simplify right side
    5,997,043.50x = 76,924,156,706,843.06
  5. Step 5: Solve for x
    x = 76,924,156,706,843.06/5,997,043.50
  6. Step 6: Final answer
    x = 12,827,013.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.