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Finding the Third Proportional to 35,825,898,712 and 77,741,478,512

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Solution

The third proportional to 35,825,898,712 and 77,741,478,512 is: 168,697,442,311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,825,898,712 : 77,741,478,512 = 77,741,478,512 : x
  2. Step 2: Convert to fraction form
    35,825,898,712/77,741,478,512 = 77,741,478,512/x
  3. Step 3: Cross multiply
    35,825,898,712x = 77,741,478,512 × 77,741,478,512
  4. Step 4: Simplify right side
    35,825,898,712x = 6,043,737,481,231,758,000,128
  5. Step 5: Solve for x
    x = 6,043,737,481,231,758,000,128/35,825,898,712
  6. Step 6: Final answer
    x = 168,697,442,311.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.