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Finding the Third Proportional to 481,209,872 and 1,031,483,077

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Solution

The third proportional to 481,209,872 and 1,031,483,077 is: 2,211,004,802.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,209,872 : 1,031,483,077 = 1,031,483,077 : x
  2. Step 2: Convert to fraction form
    481,209,872/1,031,483,077 = 1,031,483,077/x
  3. Step 3: Cross multiply
    481,209,872x = 1,031,483,077 × 1,031,483,077
  4. Step 4: Simplify right side
    481,209,872x = 1,063,957,338,137,387,904
  5. Step 5: Solve for x
    x = 1,063,957,338,137,387,904/481,209,872
  6. Step 6: Final answer
    x = 2,211,004,802.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.