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Finding the Third Proportional to 1,285,762,456 and 2,790,714,800

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Solution

The third proportional to 1,285,762,456 and 2,790,714,800 is: 6,057,175,692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,762,456 : 2,790,714,800 = 2,790,714,800 : x
  2. Step 2: Convert to fraction form
    1,285,762,456/2,790,714,800 = 2,790,714,800/x
  3. Step 3: Cross multiply
    1,285,762,456x = 2,790,714,800 × 2,790,714,800
  4. Step 4: Simplify right side
    1,285,762,456x = 7,788,089,094,939,039,744
  5. Step 5: Solve for x
    x = 7,788,089,094,939,039,744/1,285,762,456
  6. Step 6: Final answer
    x = 6,057,175,692.60

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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.