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Finding the Third Proportional to 3,826,089,565,693 and 8,432,058,030,084

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Solution

The third proportional to 3,826,089,565,693 and 8,432,058,030,084 is: 18,582,838,013,052.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826,089,565,693 : 8,432,058,030,084 = 8,432,058,030,084 : x
  2. Step 2: Convert to fraction form
    3,826,089,565,693/8,432,058,030,084 = 8,432,058,030,084/x
  3. Step 3: Cross multiply
    3,826,089,565,693x = 8,432,058,030,084 × 8,432,058,030,084
  4. Step 4: Simplify right side
    3,826,089,565,693x = 71,099,602,622,704,070,862,831,616
  5. Step 5: Solve for x
    x = 71,099,602,622,704,070,862,831,616/3,826,089,565,693
  6. Step 6: Final answer
    x = 18,582,838,013,052.67

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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.