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Finding the Third Proportional to 291,578,310 and 642,589,560

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Solution

The third proportional to 291,578,310 and 642,589,560 is: 1,416,159,324.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,578,310 : 642,589,560 = 642,589,560 : x
  2. Step 2: Convert to fraction form
    291,578,310/642,589,560 = 642,589,560/x
  3. Step 3: Cross multiply
    291,578,310x = 642,589,560 × 642,589,560
  4. Step 4: Simplify right side
    291,578,310x = 412,921,342,620,993,600
  5. Step 5: Solve for x
    x = 412,921,342,620,993,600/291,578,310
  6. Step 6: Final answer
    x = 1,416,159,324.82

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