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Finding the Third Proportional to 1,454,661,720 and 2,218,310,994

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Solution

The third proportional to 1,454,661,720 and 2,218,310,994 is: 3,382,850,870.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454,661,720 : 2,218,310,994 = 2,218,310,994 : x
  2. Step 2: Convert to fraction form
    1,454,661,720/2,218,310,994 = 2,218,310,994/x
  3. Step 3: Cross multiply
    1,454,661,720x = 2,218,310,994 × 2,218,310,994
  4. Step 4: Simplify right side
    1,454,661,720x = 4,920,903,666,101,268,480
  5. Step 5: Solve for x
    x = 4,920,903,666,101,268,480/1,454,661,720
  6. Step 6: Final answer
    x = 3,382,850,870.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.