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Finding the Third Proportional to 6,709,986,706 and 10,006,791,816

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Solution

The third proportional to 6,709,986,706 and 10,006,791,816 is: 14,923,409,961.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709,986,706 : 10,006,791,816 = 10,006,791,816 : x
  2. Step 2: Convert to fraction form
    6,709,986,706/10,006,791,816 = 10,006,791,816/x
  3. Step 3: Cross multiply
    6,709,986,706x = 10,006,791,816 × 10,006,791,816
  4. Step 4: Simplify right side
    6,709,986,706x = 100,135,882,448,764,583,936
  5. Step 5: Solve for x
    x = 100,135,882,448,764,583,936/6,709,986,706
  6. Step 6: Final answer
    x = 14,923,409,961.34

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