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Finding the Third Proportional to 378,611,042 and 581,592,912

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Solution

The third proportional to 378,611,042 and 581,592,912 is: 893,397,914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,611,042 : 581,592,912 = 581,592,912 : x
  2. Step 2: Convert to fraction form
    378,611,042/581,592,912 = 581,592,912/x
  3. Step 3: Cross multiply
    378,611,042x = 581,592,912 × 581,592,912
  4. Step 4: Simplify right side
    378,611,042x = 338,250,315,288,639,744
  5. Step 5: Solve for x
    x = 338,250,315,288,639,744/378,611,042
  6. Step 6: Final answer
    x = 893,397,914.39

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.