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Finding the Third Proportional to 210,200,006 and 491,122,062

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Solution

The third proportional to 210,200,006 and 491,122,062 is: 1,147,482,744.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,200,006 : 491,122,062 = 491,122,062 : x
  2. Step 2: Convert to fraction form
    210,200,006/491,122,062 = 491,122,062/x
  3. Step 3: Cross multiply
    210,200,006x = 491,122,062 × 491,122,062
  4. Step 4: Simplify right side
    210,200,006x = 241,200,879,783,131,840
  5. Step 5: Solve for x
    x = 241,200,879,783,131,840/210,200,006
  6. Step 6: Final answer
    x = 1,147,482,744.52

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.