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Finding the Third Proportional to 4,845,920,538 and 10,540,896,806

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Solution

The third proportional to 4,845,920,538 and 10,540,896,806 is: 22,928,668,475.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,845,920,538 : 10,540,896,806 = 10,540,896,806 : x
  2. Step 2: Convert to fraction form
    4,845,920,538/10,540,896,806 = 10,540,896,806/x
  3. Step 3: Cross multiply
    4,845,920,538x = 10,540,896,806 × 10,540,896,806
  4. Step 4: Simplify right side
    4,845,920,538x = 111,110,505,474,740,994,048
  5. Step 5: Solve for x
    x = 111,110,505,474,740,994,048/4,845,920,538
  6. Step 6: Final answer
    x = 22,928,668,475.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.