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Finding the Third Proportional to 4,993,870,802 and 10,866,866,815

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Solution

The third proportional to 4,993,870,802 and 10,866,866,815 is: 23,646,745,992.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993,870,802 : 10,866,866,815 = 10,866,866,815 : x
  2. Step 2: Convert to fraction form
    4,993,870,802/10,866,866,815 = 10,866,866,815/x
  3. Step 3: Cross multiply
    4,993,870,802x = 10,866,866,815 × 10,866,866,815
  4. Step 4: Simplify right side
    4,993,870,802x = 118,088,794,374,948,241,408
  5. Step 5: Solve for x
    x = 118,088,794,374,948,241,408/4,993,870,802
  6. Step 6: Final answer
    x = 23,646,745,992.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.