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Finding the Third Proportional to 816,091,927.50 and 1,770,740,487

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Solution

The third proportional to 816,091,927.50 and 1,770,740,487 is: 3,842,118,475.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,091,927.50 : 1,770,740,487 = 1,770,740,487 : x
  2. Step 2: Convert to fraction form
    816,091,927.50/1,770,740,487 = 1,770,740,487/x
  3. Step 3: Cross multiply
    816,091,927.50x = 1,770,740,487 × 1,770,740,487
  4. Step 4: Simplify right side
    816,091,927.50x = 3,135,521,872,300,997,120
  5. Step 5: Solve for x
    x = 3,135,521,872,300,997,120/816,091,927.50
  6. Step 6: Final answer
    x = 3,842,118,475.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.