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Finding the Third Proportional to 5,899,113,259.50 and 12,639,654,471

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Solution

The third proportional to 5,899,113,259.50 and 12,639,654,471 is: 27,082,183,053.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899,113,259.50 : 12,639,654,471 = 12,639,654,471 : x
  2. Step 2: Convert to fraction form
    5,899,113,259.50/12,639,654,471 = 12,639,654,471/x
  3. Step 3: Cross multiply
    5,899,113,259.50x = 12,639,654,471 × 12,639,654,471
  4. Step 4: Simplify right side
    5,899,113,259.50x = 159,760,865,146,270,285,824
  5. Step 5: Solve for x
    x = 159,760,865,146,270,285,824/5,899,113,259.50
  6. Step 6: Final answer
    x = 27,082,183,053.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.