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Finding the Third Proportional to 455,295,732 and 979,645,434

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Solution

The third proportional to 455,295,732 and 979,645,434 is: 2,107,872,112.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,295,732 : 979,645,434 = 979,645,434 : x
  2. Step 2: Convert to fraction form
    455,295,732/979,645,434 = 979,645,434/x
  3. Step 3: Cross multiply
    455,295,732x = 979,645,434 × 979,645,434
  4. Step 4: Simplify right side
    455,295,732x = 959,705,176,357,048,320
  5. Step 5: Solve for x
    x = 959,705,176,357,048,320/455,295,732
  6. Step 6: Final answer
    x = 2,107,872,112.35

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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.