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Finding the Third Proportional to 455,295,700 and 979,645,375

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Solution

The third proportional to 455,295,700 and 979,645,375 is: 2,107,872,006.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,295,700 : 979,645,375 = 979,645,375 : x
  2. Step 2: Convert to fraction form
    455,295,700/979,645,375 = 979,645,375/x
  3. Step 3: Cross multiply
    455,295,700x = 979,645,375 × 979,645,375
  4. Step 4: Simplify right side
    455,295,700x = 959,705,060,758,890,624
  5. Step 5: Solve for x
    x = 959,705,060,758,890,624/455,295,700
  6. Step 6: Final answer
    x = 2,107,872,006.61

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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.