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Finding the Third Proportional to 691,385,997 and 1,520,677,042.50

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Solution

The third proportional to 691,385,997 and 1,520,677,042.50 is: 3,344,670,961.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,385,997 : 1,520,677,042.50 = 1,520,677,042.50 : x
  2. Step 2: Convert to fraction form
    691,385,997/1,520,677,042.50 = 1,520,677,042.50/x
  3. Step 3: Cross multiply
    691,385,997x = 1,520,677,042.50 × 1,520,677,042.50
  4. Step 4: Simplify right side
    691,385,997x = 2,312,458,667,586,546,688
  5. Step 5: Solve for x
    x = 2,312,458,667,586,546,688/691,385,997
  6. Step 6: Final answer
    x = 3,344,670,961.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.