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Finding the Third Proportional to 30,378,960 and 61,886,016

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Solution

The third proportional to 30,378,960 and 61,886,016 is: 126,070,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378,960 : 61,886,016 = 61,886,016 : x
  2. Step 2: Convert to fraction form
    30,378,960/61,886,016 = 61,886,016/x
  3. Step 3: Cross multiply
    30,378,960x = 61,886,016 × 61,886,016
  4. Step 4: Simplify right side
    30,378,960x = 3,829,878,976,352,256
  5. Step 5: Solve for x
    x = 3,829,878,976,352,256/30,378,960
  6. Step 6: Final answer
    x = 126,070,114.85

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.