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Finding the Third Proportional to 1,928,643,684 and 4,186,072,200

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Solution

The third proportional to 1,928,643,684 and 4,186,072,200 is: 9,085,763,538.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928,643,684 : 4,186,072,200 = 4,186,072,200 : x
  2. Step 2: Convert to fraction form
    1,928,643,684/4,186,072,200 = 4,186,072,200/x
  3. Step 3: Cross multiply
    1,928,643,684x = 4,186,072,200 × 4,186,072,200
  4. Step 4: Simplify right side
    1,928,643,684x = 17,523,200,463,612,839,936
  5. Step 5: Solve for x
    x = 17,523,200,463,612,839,936/1,928,643,684
  6. Step 6: Final answer
    x = 9,085,763,538.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.