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Finding the Third Proportional to 151,156,080,132 and 324,744,130,056

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Solution

The third proportional to 151,156,080,132 and 324,744,130,056 is: 697,681,164,487.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,156,080,132 : 324,744,130,056 = 324,744,130,056 : x
  2. Step 2: Convert to fraction form
    151,156,080,132/324,744,130,056 = 324,744,130,056/x
  3. Step 3: Cross multiply
    151,156,080,132x = 324,744,130,056 × 324,744,130,056
  4. Step 4: Simplify right side
    151,156,080,132x = 105,458,750,005,828,235,821,056
  5. Step 5: Solve for x
    x = 105,458,750,005,828,235,821,056/151,156,080,132
  6. Step 6: Final answer
    x = 697,681,164,487.29

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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.