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Finding the Third Proportional to 4,653,922,716.50 and 6,530,374,860

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Solution

The third proportional to 4,653,922,716.50 and 6,530,374,860 is: 9,163,408,679.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653,922,716.50 : 6,530,374,860 = 6,530,374,860 : x
  2. Step 2: Convert to fraction form
    4,653,922,716.50/6,530,374,860 = 6,530,374,860/x
  3. Step 3: Cross multiply
    4,653,922,716.50x = 6,530,374,860 × 6,530,374,860
  4. Step 4: Simplify right side
    4,653,922,716.50x = 42,645,795,812,120,018,944
  5. Step 5: Solve for x
    x = 42,645,795,812,120,018,944/4,653,922,716.50
  6. Step 6: Final answer
    x = 9,163,408,679.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.