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Finding the Third Proportional to 631,632,882 and 1,408,498,419.50

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Solution

The third proportional to 631,632,882 and 1,408,498,419.50 is: 3,140,855,794.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,632,882 : 1,408,498,419.50 = 1,408,498,419.50 : x
  2. Step 2: Convert to fraction form
    631,632,882/1,408,498,419.50 = 1,408,498,419.50/x
  3. Step 3: Cross multiply
    631,632,882x = 1,408,498,419.50 × 1,408,498,419.50
  4. Step 4: Simplify right side
    631,632,882x = 1,983,867,797,733,998,080
  5. Step 5: Solve for x
    x = 1,983,867,797,733,998,080/631,632,882
  6. Step 6: Final answer
    x = 3,140,855,794.99

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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.