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Finding the Third Proportional to 409,890,010.50 and 892,557,751.50

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Solution

The third proportional to 409,890,010.50 and 892,557,751.50 is: 1,943,592,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,890,010.50 : 892,557,751.50 = 892,557,751.50 : x
  2. Step 2: Convert to fraction form
    409,890,010.50/892,557,751.50 = 892,557,751.50/x
  3. Step 3: Cross multiply
    409,890,010.50x = 892,557,751.50 × 892,557,751.50
  4. Step 4: Simplify right side
    409,890,010.50x = 796,659,339,762,735,744
  5. Step 5: Solve for x
    x = 796,659,339,762,735,744/409,890,010.50
  6. Step 6: Final answer
    x = 1,943,592,962.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.