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Finding the Third Proportional to 20,022,026,992 and 30,290,730,270

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Solution

The third proportional to 20,022,026,992 and 30,290,730,270 is: 45,825,946,626.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,022,026,992 : 30,290,730,270 = 30,290,730,270 : x
  2. Step 2: Convert to fraction form
    20,022,026,992/30,290,730,270 = 30,290,730,270/x
  3. Step 3: Cross multiply
    20,022,026,992x = 30,290,730,270 × 30,290,730,270
  4. Step 4: Simplify right side
    20,022,026,992x = 917,528,340,289,894,219,776
  5. Step 5: Solve for x
    x = 917,528,340,289,894,219,776/20,022,026,992
  6. Step 6: Final answer
    x = 45,825,946,626.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.