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Finding the Third Proportional to 5,829,821,850 and 12,588,587,178

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Solution

The third proportional to 5,829,821,850 and 12,588,587,178 is: 27,183,082,299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829,821,850 : 12,588,587,178 = 12,588,587,178 : x
  2. Step 2: Convert to fraction form
    5,829,821,850/12,588,587,178 = 12,588,587,178/x
  3. Step 3: Cross multiply
    5,829,821,850x = 12,588,587,178 × 12,588,587,178
  4. Step 4: Simplify right side
    5,829,821,850x = 158,472,527,138,106,015,744
  5. Step 5: Solve for x
    x = 158,472,527,138,106,015,744/5,829,821,850
  6. Step 6: Final answer
    x = 27,183,082,299.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.