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Finding the Third Proportional to 408,789,370.50 and 896,721,244.50

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Solution

The third proportional to 408,789,370.50 and 896,721,244.50 is: 1,967,049,655.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,789,370.50 : 896,721,244.50 = 896,721,244.50 : x
  2. Step 2: Convert to fraction form
    408,789,370.50/896,721,244.50 = 896,721,244.50/x
  3. Step 3: Cross multiply
    408,789,370.50x = 896,721,244.50 × 896,721,244.50
  4. Step 4: Simplify right side
    408,789,370.50x = 804,108,990,337,628,800
  5. Step 5: Solve for x
    x = 804,108,990,337,628,800/408,789,370.50
  6. Step 6: Final answer
    x = 1,967,049,655.31

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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.