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Finding the Third Proportional to 1,576,544,576 and 2,217,304,467

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Solution

The third proportional to 1,576,544,576 and 2,217,304,467 is: 3,118,490,383.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576,544,576 : 2,217,304,467 = 2,217,304,467 : x
  2. Step 2: Convert to fraction form
    1,576,544,576/2,217,304,467 = 2,217,304,467/x
  3. Step 3: Cross multiply
    1,576,544,576x = 2,217,304,467 × 2,217,304,467
  4. Step 4: Simplify right side
    1,576,544,576x = 4,916,439,099,378,154,496
  5. Step 5: Solve for x
    x = 4,916,439,099,378,154,496/1,576,544,576
  6. Step 6: Final answer
    x = 3,118,490,383.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.