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Finding the Third Proportional to 210,200,001 and 491,122,050

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Solution

The third proportional to 210,200,001 and 491,122,050 is: 1,147,482,715.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,200,001 : 491,122,050 = 491,122,050 : x
  2. Step 2: Convert to fraction form
    210,200,001/491,122,050 = 491,122,050/x
  3. Step 3: Cross multiply
    210,200,001x = 491,122,050 × 491,122,050
  4. Step 4: Simplify right side
    210,200,001x = 241,200,867,996,202,496
  5. Step 5: Solve for x
    x = 241,200,867,996,202,496/210,200,001
  6. Step 6: Final answer
    x = 1,147,482,715.74

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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.