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Finding the Third Proportional to 3,826,089,565,701 and 8,432,058,030,100

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Solution

The third proportional to 3,826,089,565,701 and 8,432,058,030,100 is: 18,582,838,013,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826,089,565,701 : 8,432,058,030,100 = 8,432,058,030,100 : x
  2. Step 2: Convert to fraction form
    3,826,089,565,701/8,432,058,030,100 = 8,432,058,030,100/x
  3. Step 3: Cross multiply
    3,826,089,565,701x = 8,432,058,030,100 × 8,432,058,030,100
  4. Step 4: Simplify right side
    3,826,089,565,701x = 71,099,602,622,973,889,298,300,928
  5. Step 5: Solve for x
    x = 71,099,602,622,973,889,298,300,928/3,826,089,565,701
  6. Step 6: Final answer
    x = 18,582,838,013,084.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.