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Finding the Third Proportional to 441,671,384 and 929,033,572

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Solution

The third proportional to 441,671,384 and 929,033,572 is: 1,954,175,455.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,671,384 : 929,033,572 = 929,033,572 : x
  2. Step 2: Convert to fraction form
    441,671,384/929,033,572 = 929,033,572/x
  3. Step 3: Cross multiply
    441,671,384x = 929,033,572 × 929,033,572
  4. Step 4: Simplify right side
    441,671,384x = 863,103,377,903,079,168
  5. Step 5: Solve for x
    x = 863,103,377,903,079,168/441,671,384
  6. Step 6: Final answer
    x = 1,954,175,455.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.