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Finding the Third Proportional to 30,281,206.50 and 66,424,452

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Solution

The third proportional to 30,281,206.50 and 66,424,452 is: 145,707,794.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,281,206.50 : 66,424,452 = 66,424,452 : x
  2. Step 2: Convert to fraction form
    30,281,206.50/66,424,452 = 66,424,452/x
  3. Step 3: Cross multiply
    30,281,206.50x = 66,424,452 × 66,424,452
  4. Step 4: Simplify right side
    30,281,206.50x = 4,412,207,823,500,304
  5. Step 5: Solve for x
    x = 4,412,207,823,500,304/30,281,206.50
  6. Step 6: Final answer
    x = 145,707,794.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.