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Finding the Third Proportional to 4,003,459,991 and 8,609,426,945

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Solution

The third proportional to 4,003,459,991 and 8,609,426,945 is: 18,514,543,042.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003,459,991 : 8,609,426,945 = 8,609,426,945 : x
  2. Step 2: Convert to fraction form
    4,003,459,991/8,609,426,945 = 8,609,426,945/x
  3. Step 3: Cross multiply
    4,003,459,991x = 8,609,426,945 × 8,609,426,945
  4. Step 4: Simplify right side
    4,003,459,991x = 74,122,232,321,292,025,856
  5. Step 5: Solve for x
    x = 74,122,232,321,292,025,856/4,003,459,991
  6. Step 6: Final answer
    x = 18,514,543,042.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.