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Finding the Third Proportional to 685,738,256.06 and 1,502,485,021.13

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Solution

The third proportional to 685,738,256.06 and 1,502,485,021.13 is: 3,292,015,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,738,256.06 : 1,502,485,021.13 = 1,502,485,021.13 : x
  2. Step 2: Convert to fraction form
    685,738,256.06/1,502,485,021.13 = 1,502,485,021.13/x
  3. Step 3: Cross multiply
    685,738,256.06x = 1,502,485,021.13 × 1,502,485,021.13
  4. Step 4: Simplify right side
    685,738,256.06x = 2,257,461,238,704,991,744
  5. Step 5: Solve for x
    x = 2,257,461,238,704,991,744/685,738,256.06
  6. Step 6: Final answer
    x = 3,292,015,894.91

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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.