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Finding the Third Proportional to 241,846,921.13 and 493,844,914.13

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Solution

The third proportional to 241,846,921.13 and 493,844,914.13 is: 1,008,418,044.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,846,921.13 : 493,844,914.13 = 493,844,914.13 : x
  2. Step 2: Convert to fraction form
    241,846,921.13/493,844,914.13 = 493,844,914.13/x
  3. Step 3: Cross multiply
    241,846,921.13x = 493,844,914.13 × 493,844,914.13
  4. Step 4: Simplify right side
    241,846,921.13x = 243,882,799,207,128,640
  5. Step 5: Solve for x
    x = 243,882,799,207,128,640/241,846,921.13
  6. Step 6: Final answer
    x = 1,008,418,044.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.