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Finding the Third Proportional to 503,383,306.50 and 1,186,614,409.50

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Solution

The third proportional to 503,383,306.50 and 1,186,614,409.50 is: 2,797,180,078.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,383,306.50 : 1,186,614,409.50 = 1,186,614,409.50 : x
  2. Step 2: Convert to fraction form
    503,383,306.50/1,186,614,409.50 = 1,186,614,409.50/x
  3. Step 3: Cross multiply
    503,383,306.50x = 1,186,614,409.50 × 1,186,614,409.50
  4. Step 4: Simplify right side
    503,383,306.50x = 1,408,053,756,833,033,728
  5. Step 5: Solve for x
    x = 1,408,053,756,833,033,728/503,383,306.50
  6. Step 6: Final answer
    x = 2,797,180,078.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.