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Finding the Third Proportional to 7,194,722,890 and 16,043,745,722

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Solution

The third proportional to 7,194,722,890 and 16,043,745,722 is: 35,776,468,493.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194,722,890 : 16,043,745,722 = 16,043,745,722 : x
  2. Step 2: Convert to fraction form
    7,194,722,890/16,043,745,722 = 16,043,745,722/x
  3. Step 3: Cross multiply
    7,194,722,890x = 16,043,745,722 × 16,043,745,722
  4. Step 4: Simplify right side
    7,194,722,890x = 257,401,776,792,193,302,528
  5. Step 5: Solve for x
    x = 257,401,776,792,193,302,528/7,194,722,890
  6. Step 6: Final answer
    x = 35,776,468,493.31

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.