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Finding the Third Proportional to 4,863,837,078 and 9,863,016,138

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Solution

The third proportional to 4,863,837,078 and 9,863,016,138 is: 20,000,482,289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863,837,078 : 9,863,016,138 = 9,863,016,138 : x
  2. Step 2: Convert to fraction form
    4,863,837,078/9,863,016,138 = 9,863,016,138/x
  3. Step 3: Cross multiply
    4,863,837,078x = 9,863,016,138 × 9,863,016,138
  4. Step 4: Simplify right side
    4,863,837,078x = 97,279,087,338,448,437,248
  5. Step 5: Solve for x
    x = 97,279,087,338,448,437,248/4,863,837,078
  6. Step 6: Final answer
    x = 20,000,482,289.68

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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.