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Finding the Third Proportional to 231,117,172,128 and 468,732,833,640

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Solution

The third proportional to 231,117,172,128 and 468,732,833,640 is: 950,645,368,793.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,117,172,128 : 468,732,833,640 = 468,732,833,640 : x
  2. Step 2: Convert to fraction form
    231,117,172,128/468,732,833,640 = 468,732,833,640/x
  3. Step 3: Cross multiply
    231,117,172,128x = 468,732,833,640 × 468,732,833,640
  4. Step 4: Simplify right side
    231,117,172,128x = 219,710,469,332,183,912,808,448
  5. Step 5: Solve for x
    x = 219,710,469,332,183,912,808,448/231,117,172,128
  6. Step 6: Final answer
    x = 950,645,368,793.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.