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Finding the Third Proportional to 408,789,367.73 and 896,721,237.56

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Solution

The third proportional to 408,789,367.73 and 896,721,237.56 is: 1,967,049,638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,789,367.73 : 896,721,237.56 = 896,721,237.56 : x
  2. Step 2: Convert to fraction form
    408,789,367.73/896,721,237.56 = 896,721,237.56/x
  3. Step 3: Cross multiply
    408,789,367.73x = 896,721,237.56 × 896,721,237.56
  4. Step 4: Simplify right side
    408,789,367.73x = 804,108,977,895,621,504
  5. Step 5: Solve for x
    x = 804,108,977,895,621,504/408,789,367.73
  6. Step 6: Final answer
    x = 1,967,049,638.18

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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.