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Finding the Third Proportional to 475,481,086 and 1,035,374,094

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Solution

The third proportional to 475,481,086 and 1,035,374,094 is: 2,254,557,638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,481,086 : 1,035,374,094 = 1,035,374,094 : x
  2. Step 2: Convert to fraction form
    475,481,086/1,035,374,094 = 1,035,374,094/x
  3. Step 3: Cross multiply
    475,481,086x = 1,035,374,094 × 1,035,374,094
  4. Step 4: Simplify right side
    475,481,086x = 1,071,999,514,526,320,896
  5. Step 5: Solve for x
    x = 1,071,999,514,526,320,896/475,481,086
  6. Step 6: Final answer
    x = 2,254,557,638.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.