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Finding the Third Proportional to 9,429,035,167 and 20,532,109,491

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Solution

The third proportional to 9,429,035,167 and 20,532,109,491 is: 44,709,507,673.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429,035,167 : 20,532,109,491 = 20,532,109,491 : x
  2. Step 2: Convert to fraction form
    9,429,035,167/20,532,109,491 = 20,532,109,491/x
  3. Step 3: Cross multiply
    9,429,035,167x = 20,532,109,491 × 20,532,109,491
  4. Step 4: Simplify right side
    9,429,035,167x = 421,567,520,150,412,263,424
  5. Step 5: Solve for x
    x = 421,567,520,150,412,263,424/9,429,035,167
  6. Step 6: Final answer
    x = 44,709,507,673.26

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Why These Related Problems?

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