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Finding the Third Proportional to 408,046,380.75 and 885,371,073

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Solution

The third proportional to 408,046,380.75 and 885,371,073 is: 1,921,060,874.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,046,380.75 : 885,371,073 = 885,371,073 : x
  2. Step 2: Convert to fraction form
    408,046,380.75/885,371,073 = 885,371,073/x
  3. Step 3: Cross multiply
    408,046,380.75x = 885,371,073 × 885,371,073
  4. Step 4: Simplify right side
    408,046,380.75x = 783,881,936,905,171,328
  5. Step 5: Solve for x
    x = 783,881,936,905,171,328/408,046,380.75
  6. Step 6: Final answer
    x = 1,921,060,874.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.