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Finding the Third Proportional to 777,089,692 and 1,585,395,008

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Solution

The third proportional to 777,089,692 and 1,585,395,008 is: 3,234,475,192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,089,692 : 1,585,395,008 = 1,585,395,008 : x
  2. Step 2: Convert to fraction form
    777,089,692/1,585,395,008 = 1,585,395,008/x
  3. Step 3: Cross multiply
    777,089,692x = 1,585,395,008 × 1,585,395,008
  4. Step 4: Simplify right side
    777,089,692x = 2,513,477,331,391,320,064
  5. Step 5: Solve for x
    x = 2,513,477,331,391,320,064/777,089,692
  6. Step 6: Final answer
    x = 3,234,475,192.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.