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Finding the Third Proportional to 8,125,213,145 and 16,478,888,787

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Solution

The third proportional to 8,125,213,145 and 16,478,888,787 is: 33,421,126,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125,213,145 : 16,478,888,787 = 16,478,888,787 : x
  2. Step 2: Convert to fraction form
    8,125,213,145/16,478,888,787 = 16,478,888,787/x
  3. Step 3: Cross multiply
    8,125,213,145x = 16,478,888,787 × 16,478,888,787
  4. Step 4: Simplify right side
    8,125,213,145x = 271,553,775,654,314,344,448
  5. Step 5: Solve for x
    x = 271,553,775,654,314,344,448/8,125,213,145
  6. Step 6: Final answer
    x = 33,421,126,413.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.