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Finding the Third Proportional to 5,821,706,775 and 12,663,438,125

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Solution

The third proportional to 5,821,706,775 and 12,663,438,125 is: 27,545,644,489.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821,706,775 : 12,663,438,125 = 12,663,438,125 : x
  2. Step 2: Convert to fraction form
    5,821,706,775/12,663,438,125 = 12,663,438,125/x
  3. Step 3: Cross multiply
    5,821,706,775x = 12,663,438,125 × 12,663,438,125
  4. Step 4: Simplify right side
    5,821,706,775x = 160,362,665,145,703,530,496
  5. Step 5: Solve for x
    x = 160,362,665,145,703,530,496/5,821,706,775
  6. Step 6: Final answer
    x = 27,545,644,489.40

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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.