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Finding the Third Proportional to 816,988,247,050.64 and 1,787,879,171,255.50

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Solution

The third proportional to 816,988,247,050.64 and 1,787,879,171,255.50 is: 3,912,555,587,609.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,988,247,050.64 : 1,787,879,171,255.50 = 1,787,879,171,255.50 : x
  2. Step 2: Convert to fraction form
    816,988,247,050.64/1,787,879,171,255.50 = 1,787,879,171,255.50/x
  3. Step 3: Cross multiply
    816,988,247,050.64x = 1,787,879,171,255.50 × 1,787,879,171,255.50
  4. Step 4: Simplify right side
    816,988,247,050.64x = 3,196,511,931,009,253,708,398,592
  5. Step 5: Solve for x
    x = 3,196,511,931,009,253,708,398,592/816,988,247,050.64
  6. Step 6: Final answer
    x = 3,912,555,587,609.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.