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Finding the Third Proportional to 10,927,096,690.50 and 23,511,488,805

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Solution

The third proportional to 10,927,096,690.50 and 23,511,488,805 is: 50,588,927,826.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,927,096,690.50 : 23,511,488,805 = 23,511,488,805 : x
  2. Step 2: Convert to fraction form
    10,927,096,690.50/23,511,488,805 = 23,511,488,805/x
  3. Step 3: Cross multiply
    10,927,096,690.50x = 23,511,488,805 × 23,511,488,805
  4. Step 4: Simplify right side
    10,927,096,690.50x = 552,790,105,827,640,344,576
  5. Step 5: Solve for x
    x = 552,790,105,827,640,344,576/10,927,096,690.50
  6. Step 6: Final answer
    x = 50,588,927,826.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.