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Finding the Third Proportional to 1,882,707,513.75 and 4,104,408,316.50

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Solution

The third proportional to 1,882,707,513.75 and 4,104,408,316.50 is: 8,947,841,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882,707,513.75 : 4,104,408,316.50 = 4,104,408,316.50 : x
  2. Step 2: Convert to fraction form
    1,882,707,513.75/4,104,408,316.50 = 4,104,408,316.50/x
  3. Step 3: Cross multiply
    1,882,707,513.75x = 4,104,408,316.50 × 4,104,408,316.50
  4. Step 4: Simplify right side
    1,882,707,513.75x = 16,846,167,628,554,364,928
  5. Step 5: Solve for x
    x = 16,846,167,628,554,364,928/1,882,707,513.75
  6. Step 6: Final answer
    x = 8,947,841,077.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.