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Finding the Third Proportional to 33,739,438,776 and 70,271,470,976

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Solution

The third proportional to 33,739,438,776 and 70,271,470,976 is: 146,359,270,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,739,438,776 : 70,271,470,976 = 70,271,470,976 : x
  2. Step 2: Convert to fraction form
    33,739,438,776/70,271,470,976 = 70,271,470,976/x
  3. Step 3: Cross multiply
    33,739,438,776x = 70,271,470,976 × 70,271,470,976
  4. Step 4: Simplify right side
    33,739,438,776x = 4,938,079,633,130,809,982,976
  5. Step 5: Solve for x
    x = 4,938,079,633,130,809,982,976/33,739,438,776
  6. Step 6: Final answer
    x = 146,359,270,108.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.