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Finding the Third Proportional to 7,194,722,860 and 16,043,745,666

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Solution

The third proportional to 7,194,722,860 and 16,043,745,666 is: 35,776,468,392.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194,722,860 : 16,043,745,666 = 16,043,745,666 : x
  2. Step 2: Convert to fraction form
    7,194,722,860/16,043,745,666 = 16,043,745,666/x
  3. Step 3: Cross multiply
    7,194,722,860x = 16,043,745,666 × 16,043,745,666
  4. Step 4: Simplify right side
    7,194,722,860x = 257,401,774,995,293,798,400
  5. Step 5: Solve for x
    x = 257,401,774,995,293,798,400/7,194,722,860
  6. Step 6: Final answer
    x = 35,776,468,392.74

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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.