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Finding the Third Proportional to 13,658,731,757.50 and 30,458,048,550.50

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Solution

The third proportional to 13,658,731,757.50 and 30,458,048,550.50 is: 67,919,389,440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658,731,757.50 : 30,458,048,550.50 = 30,458,048,550.50 : x
  2. Step 2: Convert to fraction form
    13,658,731,757.50/30,458,048,550.50 = 30,458,048,550.50/x
  3. Step 3: Cross multiply
    13,658,731,757.50x = 30,458,048,550.50 × 30,458,048,550.50
  4. Step 4: Simplify right side
    13,658,731,757.50x = 927,692,721,504,615,137,280
  5. Step 5: Solve for x
    x = 927,692,721,504,615,137,280/13,658,731,757.50
  6. Step 6: Final answer
    x = 67,919,389,440.77

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.