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Finding the Third Proportional to 19,161,946,989 and 41,936,201,811

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Solution

The third proportional to 19,161,946,989 and 41,936,201,811 is: 91,777,992,254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,161,946,989 : 41,936,201,811 = 41,936,201,811 : x
  2. Step 2: Convert to fraction form
    19,161,946,989/41,936,201,811 = 41,936,201,811/x
  3. Step 3: Cross multiply
    19,161,946,989x = 41,936,201,811 × 41,936,201,811
  4. Step 4: Simplify right side
    19,161,946,989x = 1,758,645,022,332,919,742,464
  5. Step 5: Solve for x
    x = 1,758,645,022,332,919,742,464/19,161,946,989
  6. Step 6: Final answer
    x = 91,777,992,254.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.