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Finding the Third Proportional to 151,156,080,126 and 324,744,130,044

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Solution

The third proportional to 151,156,080,126 and 324,744,130,044 is: 697,681,164,463.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,156,080,126 : 324,744,130,044 = 324,744,130,044 : x
  2. Step 2: Convert to fraction form
    151,156,080,126/324,744,130,044 = 324,744,130,044/x
  3. Step 3: Cross multiply
    151,156,080,126x = 324,744,130,044 × 324,744,130,044
  4. Step 4: Simplify right side
    151,156,080,126x = 105,458,749,998,034,380,128,256
  5. Step 5: Solve for x
    x = 105,458,749,998,034,380,128,256/151,156,080,126
  6. Step 6: Final answer
    x = 697,681,164,463.43

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