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Finding the Third Proportional to 9,500,020 and 19,933,160

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Solution

The third proportional to 9,500,020 and 19,933,160 is: 41,824,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500,020 : 19,933,160 = 19,933,160 : x
  2. Step 2: Convert to fraction form
    9,500,020/19,933,160 = 19,933,160/x
  3. Step 3: Cross multiply
    9,500,020x = 19,933,160 × 19,933,160
  4. Step 4: Simplify right side
    9,500,020x = 397,330,867,585,600
  5. Step 5: Solve for x
    x = 397,330,867,585,600/9,500,020
  6. Step 6: Final answer
    x = 41,824,213.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.