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Finding the Third Proportional to 1,928,643,693 and 4,186,072,218

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Solution

The third proportional to 1,928,643,693 and 4,186,072,218 is: 9,085,763,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928,643,693 : 4,186,072,218 = 4,186,072,218 : x
  2. Step 2: Convert to fraction form
    1,928,643,693/4,186,072,218 = 4,186,072,218/x
  3. Step 3: Cross multiply
    1,928,643,693x = 4,186,072,218 × 4,186,072,218
  4. Step 4: Simplify right side
    1,928,643,693x = 17,523,200,614,311,440,384
  5. Step 5: Solve for x
    x = 17,523,200,614,311,440,384/1,928,643,693
  6. Step 6: Final answer
    x = 9,085,763,574.64

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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.