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Finding the Third Proportional to 211,049,001 and 458,428,890

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Solution

The third proportional to 211,049,001 and 458,428,890 is: 995,773,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,049,001 : 458,428,890 = 458,428,890 : x
  2. Step 2: Convert to fraction form
    211,049,001/458,428,890 = 458,428,890/x
  3. Step 3: Cross multiply
    211,049,001x = 458,428,890 × 458,428,890
  4. Step 4: Simplify right side
    211,049,001x = 210,157,047,186,632,096
  5. Step 5: Solve for x
    x = 210,157,047,186,632,096/211,049,001
  6. Step 6: Final answer
    x = 995,773,712.22

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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.