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Finding the Third Proportional to 5,750,162,659.50 and 8,832,953,946

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Solution

The third proportional to 5,750,162,659.50 and 8,832,953,946 is: 13,568,498,846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,750,162,659.50 : 8,832,953,946 = 8,832,953,946 : x
  2. Step 2: Convert to fraction form
    5,750,162,659.50/8,832,953,946 = 8,832,953,946/x
  3. Step 3: Cross multiply
    5,750,162,659.50x = 8,832,953,946 × 8,832,953,946
  4. Step 4: Simplify right side
    5,750,162,659.50x = 78,021,075,412,156,973,056
  5. Step 5: Solve for x
    x = 78,021,075,412,156,973,056/5,750,162,659.50
  6. Step 6: Final answer
    x = 13,568,498,846.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.