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Finding the Third Proportional to 6,709,986,704 and 10,006,791,813

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Solution

The third proportional to 6,709,986,704 and 10,006,791,813 is: 14,923,409,956.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709,986,704 : 10,006,791,813 = 10,006,791,813 : x
  2. Step 2: Convert to fraction form
    6,709,986,704/10,006,791,813 = 10,006,791,813/x
  3. Step 3: Cross multiply
    6,709,986,704x = 10,006,791,813 × 10,006,791,813
  4. Step 4: Simplify right side
    6,709,986,704x = 100,135,882,388,723,826,688
  5. Step 5: Solve for x
    x = 100,135,882,388,723,826,688/6,709,986,704
  6. Step 6: Final answer
    x = 14,923,409,956.84

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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.