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Finding the Third Proportional to 23,384,885,365 and 54,566,618,204.50

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Solution

The third proportional to 23,384,885,365 and 54,566,618,204.50 is: 127,326,509,230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,384,885,365 : 54,566,618,204.50 = 54,566,618,204.50 : x
  2. Step 2: Convert to fraction form
    23,384,885,365/54,566,618,204.50 = 54,566,618,204.50/x
  3. Step 3: Cross multiply
    23,384,885,365x = 54,566,618,204.50 × 54,566,618,204.50
  4. Step 4: Simplify right side
    23,384,885,365x = 2,977,515,822,275,670,573,056
  5. Step 5: Solve for x
    x = 2,977,515,822,275,670,573,056/23,384,885,365
  6. Step 6: Final answer
    x = 127,326,509,230.28

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.