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Finding the Third Proportional to 4,978,413.56 and 7,688,712.38

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Solution

The third proportional to 4,978,413.56 and 7,688,712.38 is: 11,874,525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978,413.56 : 7,688,712.38 = 7,688,712.38 : x
  2. Step 2: Convert to fraction form
    4,978,413.56/7,688,712.38 = 7,688,712.38/x
  3. Step 3: Cross multiply
    4,978,413.56x = 7,688,712.38 × 7,688,712.38
  4. Step 4: Simplify right side
    4,978,413.56x = 59,116,297,985,478.14
  5. Step 5: Solve for x
    x = 59,116,297,985,478.14/4,978,413.56
  6. Step 6: Final answer
    x = 11,874,525.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.