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Finding the Third Proportional to 491,224,024 and 1,065,330,012

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Solution

The third proportional to 491,224,024 and 1,065,330,012 is: 2,310,408,243.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,224,024 : 1,065,330,012 = 1,065,330,012 : x
  2. Step 2: Convert to fraction form
    491,224,024/1,065,330,012 = 1,065,330,012/x
  3. Step 3: Cross multiply
    491,224,024x = 1,065,330,012 × 1,065,330,012
  4. Step 4: Simplify right side
    491,224,024x = 1,134,928,034,467,920,128
  5. Step 5: Solve for x
    x = 1,134,928,034,467,920,128/491,224,024
  6. Step 6: Final answer
    x = 2,310,408,243.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.