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Finding the Third Proportional to 902,671,321.64 and 1,965,593,405.25

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Solution

The third proportional to 902,671,321.64 and 1,965,593,405.25 is: 4,280,137,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,671,321.64 : 1,965,593,405.25 = 1,965,593,405.25 : x
  2. Step 2: Convert to fraction form
    902,671,321.64/1,965,593,405.25 = 1,965,593,405.25/x
  3. Step 3: Cross multiply
    902,671,321.64x = 1,965,593,405.25 × 1,965,593,405.25
  4. Step 4: Simplify right side
    902,671,321.64x = 3,863,557,434,762,290,688
  5. Step 5: Solve for x
    x = 3,863,557,434,762,290,688/902,671,321.64
  6. Step 6: Final answer
    x = 4,280,137,567.39

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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.