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Finding the Third Proportional to 281,266,962 and 616,991,868

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Solution

The third proportional to 281,266,962 and 616,991,868 is: 1,353,443,584.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,266,962 : 616,991,868 = 616,991,868 : x
  2. Step 2: Convert to fraction form
    281,266,962/616,991,868 = 616,991,868/x
  3. Step 3: Cross multiply
    281,266,962x = 616,991,868 × 616,991,868
  4. Step 4: Simplify right side
    281,266,962x = 380,678,965,178,129,408
  5. Step 5: Solve for x
    x = 380,678,965,178,129,408/281,266,962
  6. Step 6: Final answer
    x = 1,353,443,584.24

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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.