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Finding the Third Proportional to 3,699,562,128 and 8,632,609,943

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Solution

The third proportional to 3,699,562,128 and 8,632,609,943 is: 20,143,452,616.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699,562,128 : 8,632,609,943 = 8,632,609,943 : x
  2. Step 2: Convert to fraction form
    3,699,562,128/8,632,609,943 = 8,632,609,943/x
  3. Step 3: Cross multiply
    3,699,562,128x = 8,632,609,943 × 8,632,609,943
  4. Step 4: Simplify right side
    3,699,562,128x = 74,521,954,427,982,462,976
  5. Step 5: Solve for x
    x = 74,521,954,427,982,462,976/3,699,562,128
  6. Step 6: Final answer
    x = 20,143,452,616.72

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.