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Finding the Third Proportional to 16,390,642,296 and 35,267,228,160

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Solution

The third proportional to 16,390,642,296 and 35,267,228,160 is: 75,883,382,702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,390,642,296 : 35,267,228,160 = 35,267,228,160 : x
  2. Step 2: Convert to fraction form
    16,390,642,296/35,267,228,160 = 35,267,228,160/x
  3. Step 3: Cross multiply
    16,390,642,296x = 35,267,228,160 × 35,267,228,160
  4. Step 4: Simplify right side
    16,390,642,296x = 1,243,777,382,089,496,985,600
  5. Step 5: Solve for x
    x = 1,243,777,382,089,496,985,600/16,390,642,296
  6. Step 6: Final answer
    x = 75,883,382,702.64

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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.