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Finding the Third Proportional to 42,243,961,401 and 89,524,389,159

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Solution

The third proportional to 42,243,961,401 and 89,524,389,159 is: 189,722,175,394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,243,961,401 : 89,524,389,159 = 89,524,389,159 : x
  2. Step 2: Convert to fraction form
    42,243,961,401/89,524,389,159 = 89,524,389,159/x
  3. Step 3: Cross multiply
    42,243,961,401x = 89,524,389,159 × 89,524,389,159
  4. Step 4: Simplify right side
    42,243,961,401x = 8,014,616,254,292,076,527,616
  5. Step 5: Solve for x
    x = 8,014,616,254,292,076,527,616/42,243,961,401
  6. Step 6: Final answer
    x = 189,722,175,394.81

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.