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Finding the Third Proportional to 361,993,868 and 767,423,716

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Solution

The third proportional to 361,993,868 and 767,423,716 is: 1,626,931,315.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,993,868 : 767,423,716 = 767,423,716 : x
  2. Step 2: Convert to fraction form
    361,993,868/767,423,716 = 767,423,716/x
  3. Step 3: Cross multiply
    361,993,868x = 767,423,716 × 767,423,716
  4. Step 4: Simplify right side
    361,993,868x = 588,939,159,879,248,640
  5. Step 5: Solve for x
    x = 588,939,159,879,248,640/361,993,868
  6. Step 6: Final answer
    x = 1,626,931,315.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.