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Finding the Third Proportional to 7,511,888,819,404 and 16,271,135,599,472

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Solution

The third proportional to 7,511,888,819,404 and 16,271,135,599,472 is: 35,244,112,374,577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,511,888,819,404 : 16,271,135,599,472 = 16,271,135,599,472 : x
  2. Step 2: Convert to fraction form
    7,511,888,819,404/16,271,135,599,472 = 16,271,135,599,472/x
  3. Step 3: Cross multiply
    7,511,888,819,404x = 16,271,135,599,472 × 16,271,135,599,472
  4. Step 4: Simplify right side
    7,511,888,819,404x = 264,749,853,696,405,036,387,532,800
  5. Step 5: Solve for x
    x = 264,749,853,696,405,036,387,532,800/7,511,888,819,404
  6. Step 6: Final answer
    x = 35,244,112,374,577.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.