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Finding the Third Proportional to 4,653,922,713.50 and 6,530,374,856.50

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Solution

The third proportional to 4,653,922,713.50 and 6,530,374,856.50 is: 9,163,408,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653,922,713.50 : 6,530,374,856.50 = 6,530,374,856.50 : x
  2. Step 2: Convert to fraction form
    4,653,922,713.50/6,530,374,856.50 = 6,530,374,856.50/x
  3. Step 3: Cross multiply
    4,653,922,713.50x = 6,530,374,856.50 × 6,530,374,856.50
  4. Step 4: Simplify right side
    4,653,922,713.50x = 42,645,795,766,407,397,376
  5. Step 5: Solve for x
    x = 42,645,795,766,407,397,376/4,653,922,713.50
  6. Step 6: Final answer
    x = 9,163,408,675.16

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