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Finding the Third Proportional to 9,429,035,175 and 20,532,109,509

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Solution

The third proportional to 9,429,035,175 and 20,532,109,509 is: 44,709,507,713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429,035,175 : 20,532,109,509 = 20,532,109,509 : x
  2. Step 2: Convert to fraction form
    9,429,035,175/20,532,109,509 = 20,532,109,509/x
  3. Step 3: Cross multiply
    9,429,035,175x = 20,532,109,509 × 20,532,109,509
  4. Step 4: Simplify right side
    9,429,035,175x = 421,567,520,889,568,231,424
  5. Step 5: Solve for x
    x = 421,567,520,889,568,231,424/9,429,035,175
  6. Step 6: Final answer
    x = 44,709,507,713.72

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