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Finding the Third Proportional to 3,826,089,565,696 and 8,432,058,030,090

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Solution

The third proportional to 3,826,089,565,696 and 8,432,058,030,090 is: 18,582,838,013,064.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826,089,565,696 : 8,432,058,030,090 = 8,432,058,030,090 : x
  2. Step 2: Convert to fraction form
    3,826,089,565,696/8,432,058,030,090 = 8,432,058,030,090/x
  3. Step 3: Cross multiply
    3,826,089,565,696x = 8,432,058,030,090 × 8,432,058,030,090
  4. Step 4: Simplify right side
    3,826,089,565,696x = 71,099,602,622,805,251,702,390,784
  5. Step 5: Solve for x
    x = 71,099,602,622,805,251,702,390,784/3,826,089,565,696
  6. Step 6: Final answer
    x = 18,582,838,013,064.55

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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.