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Finding the Third Proportional to 2,341,536,596.63 and 5,056,273,517.63

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Solution

The third proportional to 2,341,536,596.63 and 5,056,273,517.63 is: 10,918,429,343.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341,536,596.63 : 5,056,273,517.63 = 5,056,273,517.63 : x
  2. Step 2: Convert to fraction form
    2,341,536,596.63/5,056,273,517.63 = 5,056,273,517.63/x
  3. Step 3: Cross multiply
    2,341,536,596.63x = 5,056,273,517.63 × 5,056,273,517.63
  4. Step 4: Simplify right side
    2,341,536,596.63x = 25,565,901,885,035,892,736
  5. Step 5: Solve for x
    x = 25,565,901,885,035,892,736/2,341,536,596.63
  6. Step 6: Final answer
    x = 10,918,429,343.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.