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Finding the Third Proportional to 3,826,089,565,697 and 8,432,058,030,092

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Solution

The third proportional to 3,826,089,565,697 and 8,432,058,030,092 is: 18,582,838,013,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826,089,565,697 : 8,432,058,030,092 = 8,432,058,030,092 : x
  2. Step 2: Convert to fraction form
    3,826,089,565,697/8,432,058,030,092 = 8,432,058,030,092/x
  3. Step 3: Cross multiply
    3,826,089,565,697x = 8,432,058,030,092 × 8,432,058,030,092
  4. Step 4: Simplify right side
    3,826,089,565,697x = 71,099,602,622,838,975,785,598,976
  5. Step 5: Solve for x
    x = 71,099,602,622,838,975,785,598,976/3,826,089,565,697
  6. Step 6: Final answer
    x = 18,582,838,013,068.50

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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.