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Finding the Third Proportional to 9,242,012.75 and 20,609,053.75

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Solution

The third proportional to 9,242,012.75 and 20,609,053.75 is: 45,956,774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242,012.75 : 20,609,053.75 = 20,609,053.75 : x
  2. Step 2: Convert to fraction form
    9,242,012.75/20,609,053.75 = 20,609,053.75/x
  3. Step 3: Cross multiply
    9,242,012.75x = 20,609,053.75 × 20,609,053.75
  4. Step 4: Simplify right side
    9,242,012.75x = 424,733,096,470,389.06
  5. Step 5: Solve for x
    x = 424,733,096,470,389.06/9,242,012.75
  6. Step 6: Final answer
    x = 45,956,774.56

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.