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Finding the Third Proportional to 291,578,267 and 642,589,470

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Solution

The third proportional to 291,578,267 and 642,589,470 is: 1,416,159,136.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,578,267 : 642,589,470 = 642,589,470 : x
  2. Step 2: Convert to fraction form
    291,578,267/642,589,470 = 642,589,470/x
  3. Step 3: Cross multiply
    291,578,267x = 642,589,470 × 642,589,470
  4. Step 4: Simplify right side
    291,578,267x = 412,921,226,954,880,896
  5. Step 5: Solve for x
    x = 412,921,226,954,880,896/291,578,267
  6. Step 6: Final answer
    x = 1,416,159,136.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.