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Finding the Third Proportional to 11,415,442,005 and 17,464,348,125

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Solution

The third proportional to 11,415,442,005 and 17,464,348,125 is: 26,718,497,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415,442,005 : 17,464,348,125 = 17,464,348,125 : x
  2. Step 2: Convert to fraction form
    11,415,442,005/17,464,348,125 = 17,464,348,125/x
  3. Step 3: Cross multiply
    11,415,442,005x = 17,464,348,125 × 17,464,348,125
  4. Step 4: Simplify right side
    11,415,442,005x = 305,003,455,431,191,035,904
  5. Step 5: Solve for x
    x = 305,003,455,431,191,035,904/11,415,442,005
  6. Step 6: Final answer
    x = 26,718,497,216.10

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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.