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Finding the Third Proportional to 1,928,643,691.50 and 4,186,072,215

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Solution

The third proportional to 1,928,643,691.50 and 4,186,072,215 is: 9,085,763,568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928,643,691.50 : 4,186,072,215 = 4,186,072,215 : x
  2. Step 2: Convert to fraction form
    1,928,643,691.50/4,186,072,215 = 4,186,072,215/x
  3. Step 3: Cross multiply
    1,928,643,691.50x = 4,186,072,215 × 4,186,072,215
  4. Step 4: Simplify right side
    1,928,643,691.50x = 17,523,200,589,195,005,952
  5. Step 5: Solve for x
    x = 17,523,200,589,195,005,952/1,928,643,691.50
  6. Step 6: Final answer
    x = 9,085,763,568.68

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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.