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Finding the Third Proportional to 8,019,421,311 and 16,698,807,075

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Solution

The third proportional to 8,019,421,311 and 16,698,807,075 is: 34,771,855,338.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019,421,311 : 16,698,807,075 = 16,698,807,075 : x
  2. Step 2: Convert to fraction form
    8,019,421,311/16,698,807,075 = 16,698,807,075/x
  3. Step 3: Cross multiply
    8,019,421,311x = 16,698,807,075 × 16,698,807,075
  4. Step 4: Simplify right side
    8,019,421,311x = 278,850,157,728,070,041,600
  5. Step 5: Solve for x
    x = 278,850,157,728,070,041,600/8,019,421,311
  6. Step 6: Final answer
    x = 34,771,855,338.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.