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Finding the Third Proportional to 30,826,947 and 66,304,003.50

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Solution

The third proportional to 30,826,947 and 66,304,003.50 is: 142,609,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,826,947 : 66,304,003.50 = 66,304,003.50 : x
  2. Step 2: Convert to fraction form
    30,826,947/66,304,003.50 = 66,304,003.50/x
  3. Step 3: Cross multiply
    30,826,947x = 66,304,003.50 × 66,304,003.50
  4. Step 4: Simplify right side
    30,826,947x = 4,396,220,880,128,012
  5. Step 5: Solve for x
    x = 4,396,220,880,128,012/30,826,947
  6. Step 6: Final answer
    x = 142,609,674.59

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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.