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Finding the Third Proportional to 3,856,302,339.75 and 7,821,035,123.06

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Solution

The third proportional to 3,856,302,339.75 and 7,821,035,123.06 is: 15,861,979,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856,302,339.75 : 7,821,035,123.06 = 7,821,035,123.06 : x
  2. Step 2: Convert to fraction form
    3,856,302,339.75/7,821,035,123.06 = 7,821,035,123.06/x
  3. Step 3: Cross multiply
    3,856,302,339.75x = 7,821,035,123.06 × 7,821,035,123.06
  4. Step 4: Simplify right side
    3,856,302,339.75x = 61,168,590,396,177,252,352
  5. Step 5: Solve for x
    x = 61,168,590,396,177,252,352/3,856,302,339.75
  6. Step 6: Final answer
    x = 15,861,979,950.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.