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Finding the Third Proportional to 747,715,482 and 1,627,095,470

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Solution

The third proportional to 747,715,482 and 1,627,095,470 is: 3,540,704,629.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,715,482 : 1,627,095,470 = 1,627,095,470 : x
  2. Step 2: Convert to fraction form
    747,715,482/1,627,095,470 = 1,627,095,470/x
  3. Step 3: Cross multiply
    747,715,482x = 1,627,095,470 × 1,627,095,470
  4. Step 4: Simplify right side
    747,715,482x = 2,647,439,668,494,520,832
  5. Step 5: Solve for x
    x = 2,647,439,668,494,520,832/747,715,482
  6. Step 6: Final answer
    x = 3,540,704,629.27

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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.