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Finding the Third Proportional to 276,521,311 and 592,484,561

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Solution

The third proportional to 276,521,311 and 592,484,561 is: 1,269,478,846.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,521,311 : 592,484,561 = 592,484,561 : x
  2. Step 2: Convert to fraction form
    276,521,311/592,484,561 = 592,484,561/x
  3. Step 3: Cross multiply
    276,521,311x = 592,484,561 × 592,484,561
  4. Step 4: Simplify right side
    276,521,311x = 351,037,955,023,362,752
  5. Step 5: Solve for x
    x = 351,037,955,023,362,752/276,521,311
  6. Step 6: Final answer
    x = 1,269,478,846.87

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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.