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Finding the Third Proportional to 4,511,534,322 and 6,896,973,627

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Solution

The third proportional to 4,511,534,322 and 6,896,973,627 is: 10,543,695,739.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511,534,322 : 6,896,973,627 = 6,896,973,627 : x
  2. Step 2: Convert to fraction form
    4,511,534,322/6,896,973,627 = 6,896,973,627/x
  3. Step 3: Cross multiply
    4,511,534,322x = 6,896,973,627 × 6,896,973,627
  4. Step 4: Simplify right side
    4,511,534,322x = 47,568,245,211,533,533,184
  5. Step 5: Solve for x
    x = 47,568,245,211,533,533,184/4,511,534,322
  6. Step 6: Final answer
    x = 10,543,695,739.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.