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Finding the Third Proportional to 21,283,352,770.50 and 29,933,611,654.50

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Solution

The third proportional to 21,283,352,770.50 and 29,933,611,654.50 is: 42,099,622,007.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,283,352,770.50 : 29,933,611,654.50 = 29,933,611,654.50 : x
  2. Step 2: Convert to fraction form
    21,283,352,770.50/29,933,611,654.50 = 29,933,611,654.50/x
  3. Step 3: Cross multiply
    21,283,352,770.50x = 29,933,611,654.50 × 29,933,611,654.50
  4. Step 4: Simplify right side
    21,283,352,770.50x = 896,021,106,682,418,167,808
  5. Step 5: Solve for x
    x = 896,021,106,682,418,167,808/21,283,352,770.50
  6. Step 6: Final answer
    x = 42,099,622,007.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.