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Finding the Third Proportional to 624,561,570 and 1,388,766,189

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Solution

The third proportional to 624,561,570 and 1,388,766,189 is: 3,088,040,667.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,561,570 : 1,388,766,189 = 1,388,766,189 : x
  2. Step 2: Convert to fraction form
    624,561,570/1,388,766,189 = 1,388,766,189/x
  3. Step 3: Cross multiply
    624,561,570x = 1,388,766,189 × 1,388,766,189
  4. Step 4: Simplify right side
    624,561,570x = 1,928,671,527,709,583,616
  5. Step 5: Solve for x
    x = 1,928,671,527,709,583,616/624,561,570
  6. Step 6: Final answer
    x = 3,088,040,667.81

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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.