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Finding the Third Proportional to 39,332,180,940 and 86,509,626,780

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Solution

The third proportional to 39,332,180,940 and 86,509,626,780 is: 190,274,613,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,332,180,940 : 86,509,626,780 = 86,509,626,780 : x
  2. Step 2: Convert to fraction form
    39,332,180,940/86,509,626,780 = 86,509,626,780/x
  3. Step 3: Cross multiply
    39,332,180,940x = 86,509,626,780 × 86,509,626,780
  4. Step 4: Simplify right side
    39,332,180,940x = 7,483,915,525,614,892,744,704
  5. Step 5: Solve for x
    x = 7,483,915,525,614,892,744,704/39,332,180,940
  6. Step 6: Final answer
    x = 190,274,613,478.25

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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.