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Finding the Third Proportional to 2,375,371,884 and 5,218,989,216

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Solution

The third proportional to 2,375,371,884 and 5,218,989,216 is: 11,466,772,264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375,371,884 : 5,218,989,216 = 5,218,989,216 : x
  2. Step 2: Convert to fraction form
    2,375,371,884/5,218,989,216 = 5,218,989,216/x
  3. Step 3: Cross multiply
    2,375,371,884x = 5,218,989,216 × 5,218,989,216
  4. Step 4: Simplify right side
    2,375,371,884x = 27,237,848,436,724,293,632
  5. Step 5: Solve for x
    x = 27,237,848,436,724,293,632/2,375,371,884
  6. Step 6: Final answer
    x = 11,466,772,264.25

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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.