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Finding the Third Proportional to 34,949,924,600 and 77,023,756,792

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Solution

The third proportional to 34,949,924,600 and 77,023,756,792 is: 169,747,407,991.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,949,924,600 : 77,023,756,792 = 77,023,756,792 : x
  2. Step 2: Convert to fraction form
    34,949,924,600/77,023,756,792 = 77,023,756,792/x
  3. Step 3: Cross multiply
    34,949,924,600x = 77,023,756,792 × 77,023,756,792
  4. Step 4: Simplify right side
    34,949,924,600x = 5,932,659,110,353,166,139,392
  5. Step 5: Solve for x
    x = 5,932,659,110,353,166,139,392/34,949,924,600
  6. Step 6: Final answer
    x = 169,747,407,991.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.