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Finding the Third Proportional to 624,561,549 and 1,388,766,147

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Solution

The third proportional to 624,561,549 and 1,388,766,147 is: 3,088,040,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,561,549 : 1,388,766,147 = 1,388,766,147 : x
  2. Step 2: Convert to fraction form
    624,561,549/1,388,766,147 = 1,388,766,147/x
  3. Step 3: Cross multiply
    624,561,549x = 1,388,766,147 × 1,388,766,147
  4. Step 4: Simplify right side
    624,561,549x = 1,928,671,411,053,225,728
  5. Step 5: Solve for x
    x = 1,928,671,411,053,225,728/624,561,549
  6. Step 6: Final answer
    x = 3,088,040,584.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.