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Finding the Third Proportional to 439,992,624 and 967,846,128

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Solution

The third proportional to 439,992,624 and 967,846,128 is: 2,128,958,706.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,992,624 : 967,846,128 = 967,846,128 : x
  2. Step 2: Convert to fraction form
    439,992,624/967,846,128 = 967,846,128/x
  3. Step 3: Cross multiply
    439,992,624x = 967,846,128 × 967,846,128
  4. Step 4: Simplify right side
    439,992,624x = 936,726,127,484,592,384
  5. Step 5: Solve for x
    x = 936,726,127,484,592,384/439,992,624
  6. Step 6: Final answer
    x = 2,128,958,706.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.