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Finding the Third Proportional to 2,853,793,575 and 6,268,788,846

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Solution

The third proportional to 2,853,793,575 and 6,268,788,846 is: 13,770,342,024.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853,793,575 : 6,268,788,846 = 6,268,788,846 : x
  2. Step 2: Convert to fraction form
    2,853,793,575/6,268,788,846 = 6,268,788,846/x
  3. Step 3: Cross multiply
    2,853,793,575x = 6,268,788,846 × 6,268,788,846
  4. Step 4: Simplify right side
    2,853,793,575x = 39,297,713,595,734,007,808
  5. Step 5: Solve for x
    x = 39,297,713,595,734,007,808/2,853,793,575
  6. Step 6: Final answer
    x = 13,770,342,024.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.