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Finding the Third Proportional to 7,498,021,101 and 16,124,468,592

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Solution

The third proportional to 7,498,021,101 and 16,124,468,592 is: 34,675,614,255.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498,021,101 : 16,124,468,592 = 16,124,468,592 : x
  2. Step 2: Convert to fraction form
    7,498,021,101/16,124,468,592 = 16,124,468,592/x
  3. Step 3: Cross multiply
    7,498,021,101x = 16,124,468,592 × 16,124,468,592
  4. Step 4: Simplify right side
    7,498,021,101x = 259,998,487,374,394,458,112
  5. Step 5: Solve for x
    x = 259,998,487,374,394,458,112/7,498,021,101
  6. Step 6: Final answer
    x = 34,675,614,255.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.