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Finding the Third Proportional to 2,603,662,336 and 5,704,747,609.50

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Solution

The third proportional to 2,603,662,336 and 5,704,747,609.50 is: 12,499,372,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603,662,336 : 5,704,747,609.50 = 5,704,747,609.50 : x
  2. Step 2: Convert to fraction form
    2,603,662,336/5,704,747,609.50 = 5,704,747,609.50/x
  3. Step 3: Cross multiply
    2,603,662,336x = 5,704,747,609.50 × 5,704,747,609.50
  4. Step 4: Simplify right side
    2,603,662,336x = 32,544,145,288,095,965,184
  5. Step 5: Solve for x
    x = 32,544,145,288,095,965,184/2,603,662,336
  6. Step 6: Final answer
    x = 12,499,372,456.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.