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Finding the Third Proportional to 11,415,441,996 and 17,464,348,116

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Solution

The third proportional to 11,415,441,996 and 17,464,348,116 is: 26,718,497,209.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415,441,996 : 17,464,348,116 = 17,464,348,116 : x
  2. Step 2: Convert to fraction form
    11,415,441,996/17,464,348,116 = 17,464,348,116/x
  3. Step 3: Cross multiply
    11,415,441,996x = 17,464,348,116 × 17,464,348,116
  4. Step 4: Simplify right side
    11,415,441,996x = 305,003,455,116,832,735,232
  5. Step 5: Solve for x
    x = 305,003,455,116,832,735,232/11,415,441,996
  6. Step 6: Final answer
    x = 26,718,497,209.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.