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Finding the Third Proportional to 4,511,529,516 and 6,896,965,882.50

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Solution

The third proportional to 4,511,529,516 and 6,896,965,882.50 is: 10,543,683,293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511,529,516 : 6,896,965,882.50 = 6,896,965,882.50 : x
  2. Step 2: Convert to fraction form
    4,511,529,516/6,896,965,882.50 = 6,896,965,882.50/x
  3. Step 3: Cross multiply
    4,511,529,516x = 6,896,965,882.50 × 6,896,965,882.50
  4. Step 4: Simplify right side
    4,511,529,516x = 47,568,138,384,369,000,448
  5. Step 5: Solve for x
    x = 47,568,138,384,369,000,448/4,511,529,516
  6. Step 6: Final answer
    x = 10,543,683,293.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.