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Finding the Third Proportional to 2,756,357,082 and 4,236,720,147

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Solution

The third proportional to 2,756,357,082 and 4,236,720,147 is: 6,512,145,222.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756,357,082 : 4,236,720,147 = 4,236,720,147 : x
  2. Step 2: Convert to fraction form
    2,756,357,082/4,236,720,147 = 4,236,720,147/x
  3. Step 3: Cross multiply
    2,756,357,082x = 4,236,720,147 × 4,236,720,147
  4. Step 4: Simplify right side
    2,756,357,082x = 17,949,797,603,995,701,248
  5. Step 5: Solve for x
    x = 17,949,797,603,995,701,248/2,756,357,082
  6. Step 6: Final answer
    x = 6,512,145,222.84

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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.