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Finding the Third Proportional to 4,971,795,930 and 10,771,118,484

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Solution

The third proportional to 4,971,795,930 and 10,771,118,484 is: 23,335,027,227.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971,795,930 : 10,771,118,484 = 10,771,118,484 : x
  2. Step 2: Convert to fraction form
    4,971,795,930/10,771,118,484 = 10,771,118,484/x
  3. Step 3: Cross multiply
    4,971,795,930x = 10,771,118,484 × 10,771,118,484
  4. Step 4: Simplify right side
    4,971,795,930x = 116,016,993,396,366,458,880
  5. Step 5: Solve for x
    x = 116,016,993,396,366,458,880/4,971,795,930
  6. Step 6: Final answer
    x = 23,335,027,227.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.