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Finding the Third Proportional to 4,461,597,132 and 6,749,777,799

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Solution

The third proportional to 4,461,597,132 and 6,749,777,799 is: 10,211,477,860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461,597,132 : 6,749,777,799 = 6,749,777,799 : x
  2. Step 2: Convert to fraction form
    4,461,597,132/6,749,777,799 = 6,749,777,799/x
  3. Step 3: Cross multiply
    4,461,597,132x = 6,749,777,799 × 6,749,777,799
  4. Step 4: Simplify right side
    4,461,597,132x = 45,559,500,335,873,286,144
  5. Step 5: Solve for x
    x = 45,559,500,335,873,286,144/4,461,597,132
  6. Step 6: Final answer
    x = 10,211,477,860.50

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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.