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Finding the Third Proportional to 1,948,201,812 and 4,253,509,620

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Solution

The third proportional to 1,948,201,812 and 4,253,509,620 is: 9,286,688,871.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948,201,812 : 4,253,509,620 = 4,253,509,620 : x
  2. Step 2: Convert to fraction form
    1,948,201,812/4,253,509,620 = 4,253,509,620/x
  3. Step 3: Cross multiply
    1,948,201,812x = 4,253,509,620 × 4,253,509,620
  4. Step 4: Simplify right side
    1,948,201,812x = 18,092,344,087,432,544,256
  5. Step 5: Solve for x
    x = 18,092,344,087,432,544,256/1,948,201,812
  6. Step 6: Final answer
    x = 9,286,688,871.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.