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Finding the Third Proportional to 13,000,259 and 27,680,134

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Solution

The third proportional to 13,000,259 and 27,680,134 is: 58,936,504.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000,259 : 27,680,134 = 27,680,134 : x
  2. Step 2: Convert to fraction form
    13,000,259/27,680,134 = 27,680,134/x
  3. Step 3: Cross multiply
    13,000,259x = 27,680,134 × 27,680,134
  4. Step 4: Simplify right side
    13,000,259x = 766,189,818,257,956
  5. Step 5: Solve for x
    x = 766,189,818,257,956/13,000,259
  6. Step 6: Final answer
    x = 58,936,504.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.