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Finding the Third Proportional to 10,519,689,744 and 15,793,372,008

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Solution

The third proportional to 10,519,689,744 and 15,793,372,008 is: 23,710,832,301.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519,689,744 : 15,793,372,008 = 15,793,372,008 : x
  2. Step 2: Convert to fraction form
    10,519,689,744/15,793,372,008 = 15,793,372,008/x
  3. Step 3: Cross multiply
    10,519,689,744x = 15,793,372,008 × 15,793,372,008
  4. Step 4: Simplify right side
    10,519,689,744x = 249,430,599,383,077,945,344
  5. Step 5: Solve for x
    x = 249,430,599,383,077,945,344/10,519,689,744
  6. Step 6: Final answer
    x = 23,710,832,301.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.