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Finding the Third Proportional to 1,592,465,745.50 and 2,388,698,867.50

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Solution

The third proportional to 1,592,465,745.50 and 2,388,698,867.50 is: 3,583,048,675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592,465,745.50 : 2,388,698,867.50 = 2,388,698,867.50 : x
  2. Step 2: Convert to fraction form
    1,592,465,745.50/2,388,698,867.50 = 2,388,698,867.50/x
  3. Step 3: Cross multiply
    1,592,465,745.50x = 2,388,698,867.50 × 2,388,698,867.50
  4. Step 4: Simplify right side
    1,592,465,745.50x = 5,705,882,279,595,782,144
  5. Step 5: Solve for x
    x = 5,705,882,279,595,782,144/1,592,465,745.50
  6. Step 6: Final answer
    x = 3,583,048,675.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.