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Finding the Third Proportional to 1,988,594,454 and 2,991,194,100

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Solution

The third proportional to 1,988,594,454 and 2,991,194,100 is: 4,499,279,441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988,594,454 : 2,991,194,100 = 2,991,194,100 : x
  2. Step 2: Convert to fraction form
    1,988,594,454/2,991,194,100 = 2,991,194,100/x
  3. Step 3: Cross multiply
    1,988,594,454x = 2,991,194,100 × 2,991,194,100
  4. Step 4: Simplify right side
    1,988,594,454x = 8,947,242,143,874,809,856
  5. Step 5: Solve for x
    x = 8,947,242,143,874,809,856/1,988,594,454
  6. Step 6: Final answer
    x = 4,499,279,441.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.