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Finding the Third Proportional to 5,673,529,508 and 12,415,827,606

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Solution

The third proportional to 5,673,529,508 and 12,415,827,606 is: 27,170,524,965.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673,529,508 : 12,415,827,606 = 12,415,827,606 : x
  2. Step 2: Convert to fraction form
    5,673,529,508/12,415,827,606 = 12,415,827,606/x
  3. Step 3: Cross multiply
    5,673,529,508x = 12,415,827,606 × 12,415,827,606
  4. Step 4: Simplify right side
    5,673,529,508x = 154,152,775,141,911,691,264
  5. Step 5: Solve for x
    x = 154,152,775,141,911,691,264/5,673,529,508
  6. Step 6: Final answer
    x = 27,170,524,965.90

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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.