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Finding the Third Proportional to 1,839,915,534 and 4,017,030,377

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Solution

The third proportional to 1,839,915,534 and 4,017,030,377 is: 8,770,257,520.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839,915,534 : 4,017,030,377 = 4,017,030,377 : x
  2. Step 2: Convert to fraction form
    1,839,915,534/4,017,030,377 = 4,017,030,377/x
  3. Step 3: Cross multiply
    1,839,915,534x = 4,017,030,377 × 4,017,030,377
  4. Step 4: Simplify right side
    1,839,915,534x = 16,136,533,049,740,763,136
  5. Step 5: Solve for x
    x = 16,136,533,049,740,763,136/1,839,915,534
  6. Step 6: Final answer
    x = 8,770,257,520.82

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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.