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Finding the Third Proportional to 445,940,068 and 960,219,496

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Solution

The third proportional to 445,940,068 and 960,219,496 is: 2,067,590,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,940,068 : 960,219,496 = 960,219,496 : x
  2. Step 2: Convert to fraction form
    445,940,068/960,219,496 = 960,219,496/x
  3. Step 3: Cross multiply
    445,940,068x = 960,219,496 × 960,219,496
  4. Step 4: Simplify right side
    445,940,068x = 922,021,480,498,493,952
  5. Step 5: Solve for x
    x = 922,021,480,498,493,952/445,940,068
  6. Step 6: Final answer
    x = 2,067,590,572.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.