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Finding the Third Proportional to 39,247,308,175,104 and 85,880,744,928,640

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Solution

The third proportional to 39,247,308,175,104 and 85,880,744,928,640 is: 187,923,775,984,633.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,247,308,175,104 : 85,880,744,928,640 = 85,880,744,928,640 : x
  2. Step 2: Convert to fraction form
    39,247,308,175,104/85,880,744,928,640 = 85,880,744,928,640/x
  3. Step 3: Cross multiply
    39,247,308,175,104x = 85,880,744,928,640 × 85,880,744,928,640
  4. Step 4: Simplify right side
    39,247,308,175,104x = 7,375,502,349,498,125,295,030,370,304
  5. Step 5: Solve for x
    x = 7,375,502,349,498,125,295,030,370,304/39,247,308,175,104
  6. Step 6: Final answer
    x = 187,923,775,984,633.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.