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Finding the Third Proportional to 20,130,609.75 and 30,980,643.75

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Solution

The third proportional to 20,130,609.75 and 30,980,643.75 is: 47,678,649.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,130,609.75 : 30,980,643.75 = 30,980,643.75 : x
  2. Step 2: Convert to fraction form
    20,130,609.75/30,980,643.75 = 30,980,643.75/x
  3. Step 3: Cross multiply
    20,130,609.75x = 30,980,643.75 × 30,980,643.75
  4. Step 4: Simplify right side
    20,130,609.75x = 959,800,287,164,414
  5. Step 5: Solve for x
    x = 959,800,287,164,414/20,130,609.75
  6. Step 6: Final answer
    x = 47,678,649.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.