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Finding the Third Proportional to 33,481,725 and 71,746,405.50

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Solution

The third proportional to 33,481,725 and 71,746,405.50 is: 153,741,980.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,481,725 : 71,746,405.50 = 71,746,405.50 : x
  2. Step 2: Convert to fraction form
    33,481,725/71,746,405.50 = 71,746,405.50/x
  3. Step 3: Cross multiply
    33,481,725x = 71,746,405.50 × 71,746,405.50
  4. Step 4: Simplify right side
    33,481,725x = 5,147,546,702,170,430
  5. Step 5: Solve for x
    x = 5,147,546,702,170,430/33,481,725
  6. Step 6: Final answer
    x = 153,741,980.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.