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Finding the Third Proportional to 685,961,946 and 1,460,409,912

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Solution

The third proportional to 685,961,946 and 1,460,409,912 is: 3,109,206,164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,961,946 : 1,460,409,912 = 1,460,409,912 : x
  2. Step 2: Convert to fraction form
    685,961,946/1,460,409,912 = 1,460,409,912/x
  3. Step 3: Cross multiply
    685,961,946x = 1,460,409,912 × 1,460,409,912
  4. Step 4: Simplify right side
    685,961,946x = 2,132,797,111,067,847,680
  5. Step 5: Solve for x
    x = 2,132,797,111,067,847,680/685,961,946
  6. Step 6: Final answer
    x = 3,109,206,164.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.