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Finding the Third Proportional to 481,209,883.13 and 1,031,483,098.88

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Solution

The third proportional to 481,209,883.13 and 1,031,483,098.88 is: 2,211,004,845.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,209,883.13 : 1,031,483,098.88 = 1,031,483,098.88 : x
  2. Step 2: Convert to fraction form
    481,209,883.13/1,031,483,098.88 = 1,031,483,098.88/x
  3. Step 3: Cross multiply
    481,209,883.13x = 1,031,483,098.88 × 1,031,483,098.88
  4. Step 4: Simplify right side
    481,209,883.13x = 1,063,957,383,264,772,992
  5. Step 5: Solve for x
    x = 1,063,957,383,264,772,992/481,209,883.13
  6. Step 6: Final answer
    x = 2,211,004,845.44

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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.