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Finding the Third Proportional to 9,200,843,189 and 13,157,307,007.50

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Solution

The third proportional to 9,200,843,189 and 13,157,307,007.50 is: 18,815,093,805.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200,843,189 : 13,157,307,007.50 = 13,157,307,007.50 : x
  2. Step 2: Convert to fraction form
    9,200,843,189/13,157,307,007.50 = 13,157,307,007.50/x
  3. Step 3: Cross multiply
    9,200,843,189x = 13,157,307,007.50 × 13,157,307,007.50
  4. Step 4: Simplify right side
    9,200,843,189x = 173,114,727,689,608,593,408
  5. Step 5: Solve for x
    x = 173,114,727,689,608,593,408/9,200,843,189
  6. Step 6: Final answer
    x = 18,815,093,805.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.