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Finding the Third Proportional to 10,927,096,693 and 23,511,488,809

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Solution

The third proportional to 10,927,096,693 and 23,511,488,809 is: 50,588,927,832.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,927,096,693 : 23,511,488,809 = 23,511,488,809 : x
  2. Step 2: Convert to fraction form
    10,927,096,693/23,511,488,809 = 23,511,488,809/x
  3. Step 3: Cross multiply
    10,927,096,693x = 23,511,488,809 × 23,511,488,809
  4. Step 4: Simplify right side
    10,927,096,693x = 552,790,106,015,732,269,056
  5. Step 5: Solve for x
    x = 552,790,106,015,732,269,056/10,927,096,693
  6. Step 6: Final answer
    x = 50,588,927,832.02

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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.