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Finding the Third Proportional to 257,731,662,222 and 522,812,223,450

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Solution

The third proportional to 257,731,662,222 and 522,812,223,450 is: 1,060,531,789,661.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,731,662,222 : 522,812,223,450 = 522,812,223,450 : x
  2. Step 2: Convert to fraction form
    257,731,662,222/522,812,223,450 = 522,812,223,450/x
  3. Step 3: Cross multiply
    257,731,662,222x = 522,812,223,450 × 522,812,223,450
  4. Step 4: Simplify right side
    257,731,662,222x = 273,332,620,988,732,726,575,104
  5. Step 5: Solve for x
    x = 273,332,620,988,732,726,575,104/257,731,662,222
  6. Step 6: Final answer
    x = 1,060,531,789,661.51

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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.