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Finding the Third Proportional to 633,974,571 and 1,380,498,354

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Solution

The third proportional to 633,974,571 and 1,380,498,354 is: 3,006,075,941.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,974,571 : 1,380,498,354 = 1,380,498,354 : x
  2. Step 2: Convert to fraction form
    633,974,571/1,380,498,354 = 1,380,498,354/x
  3. Step 3: Cross multiply
    633,974,571x = 1,380,498,354 × 1,380,498,354
  4. Step 4: Simplify right side
    633,974,571x = 1,905,775,705,396,709,376
  5. Step 5: Solve for x
    x = 1,905,775,705,396,709,376/633,974,571
  6. Step 6: Final answer
    x = 3,006,075,941.49

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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.