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Finding the Third Proportional to 2,641,430,427 and 5,757,496,757

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Solution

The third proportional to 2,641,430,427 and 5,757,496,757 is: 12,549,552,154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641,430,427 : 5,757,496,757 = 5,757,496,757 : x
  2. Step 2: Convert to fraction form
    2,641,430,427/5,757,496,757 = 5,757,496,757/x
  3. Step 3: Cross multiply
    2,641,430,427x = 5,757,496,757 × 5,757,496,757
  4. Step 4: Simplify right side
    2,641,430,427x = 33,148,768,906,865,516,544
  5. Step 5: Solve for x
    x = 33,148,768,906,865,516,544/2,641,430,427
  6. Step 6: Final answer
    x = 12,549,552,154.78

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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.