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Finding the Third Proportional to 401,924,225 and 865,431,181

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Solution

The third proportional to 401,924,225 and 865,431,181 is: 1,863,463,514.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,924,225 : 865,431,181 = 865,431,181 : x
  2. Step 2: Convert to fraction form
    401,924,225/865,431,181 = 865,431,181/x
  3. Step 3: Cross multiply
    401,924,225x = 865,431,181 × 865,431,181
  4. Step 4: Simplify right side
    401,924,225x = 748,971,129,047,054,720
  5. Step 5: Solve for x
    x = 748,971,129,047,054,720/401,924,225
  6. Step 6: Final answer
    x = 1,863,463,514.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.