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Finding the Third Proportional to 902,671,327.50 and 1,965,593,418

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Solution

The third proportional to 902,671,327.50 and 1,965,593,418 is: 4,280,137,595.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,671,327.50 : 1,965,593,418 = 1,965,593,418 : x
  2. Step 2: Convert to fraction form
    902,671,327.50/1,965,593,418 = 1,965,593,418/x
  3. Step 3: Cross multiply
    902,671,327.50x = 1,965,593,418 × 1,965,593,418
  4. Step 4: Simplify right side
    902,671,327.50x = 3,863,557,484,884,922,880
  5. Step 5: Solve for x
    x = 3,863,557,484,884,922,880/902,671,327.50
  6. Step 6: Final answer
    x = 4,280,137,595.14

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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.