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Finding the Third Proportional to 37,110,969 and 76,767,603.75

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Solution

The third proportional to 37,110,969 and 76,767,603.75 is: 158,801,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,110,969 : 76,767,603.75 = 76,767,603.75 : x
  2. Step 2: Convert to fraction form
    37,110,969/76,767,603.75 = 76,767,603.75/x
  3. Step 3: Cross multiply
    37,110,969x = 76,767,603.75 × 76,767,603.75
  4. Step 4: Simplify right side
    37,110,969x = 5,893,264,985,517,014
  5. Step 5: Solve for x
    x = 5,893,264,985,517,014/37,110,969
  6. Step 6: Final answer
    x = 158,801,161.61

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.