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Finding the Third Proportional to 4,863,837,080 and 9,863,016,142

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Solution

The third proportional to 4,863,837,080 and 9,863,016,142 is: 20,000,482,297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863,837,080 : 9,863,016,142 = 9,863,016,142 : x
  2. Step 2: Convert to fraction form
    4,863,837,080/9,863,016,142 = 9,863,016,142/x
  3. Step 3: Cross multiply
    4,863,837,080x = 9,863,016,142 × 9,863,016,142
  4. Step 4: Simplify right side
    4,863,837,080x = 97,279,087,417,352,568,832
  5. Step 5: Solve for x
    x = 97,279,087,417,352,568,832/4,863,837,080
  6. Step 6: Final answer
    x = 20,000,482,297.68

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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.