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Finding the Third Proportional to 1,691,137,008 and 3,714,837,984

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Solution

The third proportional to 1,691,137,008 and 3,714,837,984 is: 8,160,202,977.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,137,008 : 3,714,837,984 = 3,714,837,984 : x
  2. Step 2: Convert to fraction form
    1,691,137,008/3,714,837,984 = 3,714,837,984/x
  3. Step 3: Cross multiply
    1,691,137,008x = 3,714,837,984 × 3,714,837,984
  4. Step 4: Simplify right side
    1,691,137,008x = 13,800,021,247,369,183,232
  5. Step 5: Solve for x
    x = 13,800,021,247,369,183,232/1,691,137,008
  6. Step 6: Final answer
    x = 8,160,202,977.10

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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.