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Finding the Third Proportional to 151,156,080,130 and 324,744,130,052

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Solution

The third proportional to 151,156,080,130 and 324,744,130,052 is: 697,681,164,479.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,156,080,130 : 324,744,130,052 = 324,744,130,052 : x
  2. Step 2: Convert to fraction form
    151,156,080,130/324,744,130,052 = 324,744,130,052/x
  3. Step 3: Cross multiply
    151,156,080,130x = 324,744,130,052 × 324,744,130,052
  4. Step 4: Simplify right side
    151,156,080,130x = 105,458,750,003,230,283,923,456
  5. Step 5: Solve for x
    x = 105,458,750,003,230,283,923,456/151,156,080,130
  6. Step 6: Final answer
    x = 697,681,164,479.34

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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.