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Finding the Third Proportional to 1,576,544,649 and 2,217,304,566

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Solution

The third proportional to 1,576,544,649 and 2,217,304,566 is: 3,118,490,517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576,544,649 : 2,217,304,566 = 2,217,304,566 : x
  2. Step 2: Convert to fraction form
    1,576,544,649/2,217,304,566 = 2,217,304,566/x
  3. Step 3: Cross multiply
    1,576,544,649x = 2,217,304,566 × 2,217,304,566
  4. Step 4: Simplify right side
    1,576,544,649x = 4,916,439,538,404,448,256
  5. Step 5: Solve for x
    x = 4,916,439,538,404,448,256/1,576,544,649
  6. Step 6: Final answer
    x = 3,118,490,517.55

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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.