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Finding the Third Proportional to 6,709,986,706 and 10,006,791,846

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Solution

The third proportional to 6,709,986,706 and 10,006,791,846 is: 14,923,410,050.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709,986,706 : 10,006,791,846 = 10,006,791,846 : x
  2. Step 2: Convert to fraction form
    6,709,986,706/10,006,791,846 = 10,006,791,846/x
  3. Step 3: Cross multiply
    6,709,986,706x = 10,006,791,846 × 10,006,791,846
  4. Step 4: Simplify right side
    6,709,986,706x = 100,135,883,049,172,090,880
  5. Step 5: Solve for x
    x = 100,135,883,049,172,090,880/6,709,986,706
  6. Step 6: Final answer
    x = 14,923,410,050.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.