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Finding the Third Proportional to 6,855,142,923 and 9,472,250,215.50

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Solution

The third proportional to 6,855,142,923 and 9,472,250,215.50 is: 13,088,497,957.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855,142,923 : 9,472,250,215.50 = 9,472,250,215.50 : x
  2. Step 2: Convert to fraction form
    6,855,142,923/9,472,250,215.50 = 9,472,250,215.50/x
  3. Step 3: Cross multiply
    6,855,142,923x = 9,472,250,215.50 × 9,472,250,215.50
  4. Step 4: Simplify right side
    6,855,142,923x = 89,723,524,145,039,802,368
  5. Step 5: Solve for x
    x = 89,723,524,145,039,802,368/6,855,142,923
  6. Step 6: Final answer
    x = 13,088,497,957.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.