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Finding the Third Proportional to 384,936,960 and 898,217,280

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Solution

The third proportional to 384,936,960 and 898,217,280 is: 2,095,912,749.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,936,960 : 898,217,280 = 898,217,280 : x
  2. Step 2: Convert to fraction form
    384,936,960/898,217,280 = 898,217,280/x
  3. Step 3: Cross multiply
    384,936,960x = 898,217,280 × 898,217,280
  4. Step 4: Simplify right side
    384,936,960x = 806,794,282,090,598,400
  5. Step 5: Solve for x
    x = 806,794,282,090,598,400/384,936,960
  6. Step 6: Final answer
    x = 2,095,912,749.17

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.