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Finding the Third Proportional to 4,708,352,120 and 10,092,707,000

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Solution

The third proportional to 4,708,352,120 and 10,092,707,000 is: 21,634,476,774.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,708,352,120 : 10,092,707,000 = 10,092,707,000 : x
  2. Step 2: Convert to fraction form
    4,708,352,120/10,092,707,000 = 10,092,707,000/x
  3. Step 3: Cross multiply
    4,708,352,120x = 10,092,707,000 × 10,092,707,000
  4. Step 4: Simplify right side
    4,708,352,120x = 101,862,734,587,848,998,912
  5. Step 5: Solve for x
    x = 101,862,734,587,848,998,912/4,708,352,120
  6. Step 6: Final answer
    x = 21,634,476,774.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.