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Finding the Third Proportional to 631,635,488 and 1,408,504,444

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Solution

The third proportional to 631,635,488 and 1,408,504,444 is: 3,140,869,704.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,635,488 : 1,408,504,444 = 1,408,504,444 : x
  2. Step 2: Convert to fraction form
    631,635,488/1,408,504,444 = 1,408,504,444/x
  3. Step 3: Cross multiply
    631,635,488x = 1,408,504,444 × 1,408,504,444
  4. Step 4: Simplify right side
    631,635,488x = 1,983,884,768,767,749,120
  5. Step 5: Solve for x
    x = 1,983,884,768,767,749,120/631,635,488
  6. Step 6: Final answer
    x = 3,140,869,704.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.