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Finding the Third Proportional to 3,826,089,565,690.50 and 8,432,058,030,079.20

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Solution

The third proportional to 3,826,089,565,690.50 and 8,432,058,030,079.20 is: 18,582,838,013,043.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826,089,565,690.50 : 8,432,058,030,079.20 = 8,432,058,030,079.20 : x
  2. Step 2: Convert to fraction form
    3,826,089,565,690.50/8,432,058,030,079.20 = 8,432,058,030,079.20/x
  3. Step 3: Cross multiply
    3,826,089,565,690.50x = 8,432,058,030,079.20 × 8,432,058,030,079.20
  4. Step 4: Simplify right side
    3,826,089,565,690.50x = 71,099,602,622,623,119,319,236,608
  5. Step 5: Solve for x
    x = 71,099,602,622,623,119,319,236,608/3,826,089,565,690.50
  6. Step 6: Final answer
    x = 18,582,838,013,043.66

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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.