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Finding the Third Proportional to 5,385,420,595 and 11,785,336,374

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Solution

The third proportional to 5,385,420,595 and 11,785,336,374 is: 25,790,771,769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385,420,595 : 11,785,336,374 = 11,785,336,374 : x
  2. Step 2: Convert to fraction form
    5,385,420,595/11,785,336,374 = 11,785,336,374/x
  3. Step 3: Cross multiply
    5,385,420,595x = 11,785,336,374 × 11,785,336,374
  4. Step 4: Simplify right side
    5,385,420,595x = 138,894,153,448,327,462,912
  5. Step 5: Solve for x
    x = 138,894,153,448,327,462,912/5,385,420,595
  6. Step 6: Final answer
    x = 25,790,771,769.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.