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Finding the Third Proportional to 1,471,843,231.59 and 3,229,665,053.06

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Solution

The third proportional to 1,471,843,231.59 and 3,229,665,053.06 is: 7,086,852,819.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471,843,231.59 : 3,229,665,053.06 = 3,229,665,053.06 : x
  2. Step 2: Convert to fraction form
    1,471,843,231.59/3,229,665,053.06 = 3,229,665,053.06/x
  3. Step 3: Cross multiply
    1,471,843,231.59x = 3,229,665,053.06 × 3,229,665,053.06
  4. Step 4: Simplify right side
    1,471,843,231.59x = 10,430,736,354,972,553,216
  5. Step 5: Solve for x
    x = 10,430,736,354,972,553,216/1,471,843,231.59
  6. Step 6: Final answer
    x = 7,086,852,819.02

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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.