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Finding the Third Proportional to 455,295,786 and 979,645,548

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Solution

The third proportional to 455,295,786 and 979,645,548 is: 2,107,872,352.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,295,786 : 979,645,548 = 979,645,548 : x
  2. Step 2: Convert to fraction form
    455,295,786/979,645,548 = 979,645,548/x
  3. Step 3: Cross multiply
    455,295,786x = 979,645,548 × 979,645,548
  4. Step 4: Simplify right side
    455,295,786x = 959,705,399,716,220,288
  5. Step 5: Solve for x
    x = 959,705,399,716,220,288/455,295,786
  6. Step 6: Final answer
    x = 2,107,872,352.93

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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.