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Finding the Third Proportional to 331,583,971,414.50 and 509,353,545,645

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Solution

The third proportional to 331,583,971,414.50 and 509,353,545,645 is: 782,429,359,761.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,583,971,414.50 : 509,353,545,645 = 509,353,545,645 : x
  2. Step 2: Convert to fraction form
    331,583,971,414.50/509,353,545,645 = 509,353,545,645/x
  3. Step 3: Cross multiply
    331,583,971,414.50x = 509,353,545,645 × 509,353,545,645
  4. Step 4: Simplify right side
    331,583,971,414.50x = 259,441,034,461,133,097,926,656
  5. Step 5: Solve for x
    x = 259,441,034,461,133,097,926,656/331,583,971,414.50
  6. Step 6: Final answer
    x = 782,429,359,761.83

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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.