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Finding the Third Proportional to 257,731,662,243 and 522,812,223,498

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Solution

The third proportional to 257,731,662,243 and 522,812,223,498 is: 1,060,531,789,769.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,731,662,243 : 522,812,223,498 = 522,812,223,498 : x
  2. Step 2: Convert to fraction form
    257,731,662,243/522,812,223,498 = 522,812,223,498/x
  3. Step 3: Cross multiply
    257,731,662,243x = 522,812,223,498 × 522,812,223,498
  4. Step 4: Simplify right side
    257,731,662,243x = 273,332,621,038,922,707,763,200
  5. Step 5: Solve for x
    x = 273,332,621,038,922,707,763,200/257,731,662,243
  6. Step 6: Final answer
    x = 1,060,531,789,769.83

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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.