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Finding the Third Proportional to 5,698,123,616 and 12,555,513,592

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Solution

The third proportional to 5,698,123,616 and 12,555,513,592 is: 27,665,409,208.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698,123,616 : 12,555,513,592 = 12,555,513,592 : x
  2. Step 2: Convert to fraction form
    5,698,123,616/12,555,513,592 = 12,555,513,592/x
  3. Step 3: Cross multiply
    5,698,123,616x = 12,555,513,592 × 12,555,513,592
  4. Step 4: Simplify right side
    5,698,123,616x = 157,640,921,558,896,738,304
  5. Step 5: Solve for x
    x = 157,640,921,558,896,738,304/5,698,123,616
  6. Step 6: Final answer
    x = 27,665,409,208.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.