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Finding the Third Proportional to 2,578,456,905 and 5,524,492,578

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Solution

The third proportional to 2,578,456,905 and 5,524,492,578 is: 11,836,543,858.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578,456,905 : 5,524,492,578 = 5,524,492,578 : x
  2. Step 2: Convert to fraction form
    2,578,456,905/5,524,492,578 = 5,524,492,578/x
  3. Step 3: Cross multiply
    2,578,456,905x = 5,524,492,578 × 5,524,492,578
  4. Step 4: Simplify right side
    2,578,456,905x = 30,520,018,244,377,088,000
  5. Step 5: Solve for x
    x = 30,520,018,244,377,088,000/2,578,456,905
  6. Step 6: Final answer
    x = 11,836,543,858.92

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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.