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Finding the Third Proportional to 2,454,645,264 and 5,368,446,804

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Solution

The third proportional to 2,454,645,264 and 5,368,446,804 is: 11,741,094,124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454,645,264 : 5,368,446,804 = 5,368,446,804 : x
  2. Step 2: Convert to fraction form
    2,454,645,264/5,368,446,804 = 5,368,446,804/x
  3. Step 3: Cross multiply
    2,454,645,264x = 5,368,446,804 × 5,368,446,804
  4. Step 4: Simplify right side
    2,454,645,264x = 28,820,221,087,377,813,504
  5. Step 5: Solve for x
    x = 28,820,221,087,377,813,504/2,454,645,264
  6. Step 6: Final answer
    x = 11,741,094,124.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.