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Finding the Third Proportional to 257,731,662,240 and 522,812,223,488

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Solution

The third proportional to 257,731,662,240 and 522,812,223,488 is: 1,060,531,789,741.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,731,662,240 : 522,812,223,488 = 522,812,223,488 : x
  2. Step 2: Convert to fraction form
    257,731,662,240/522,812,223,488 = 522,812,223,488/x
  3. Step 3: Cross multiply
    257,731,662,240x = 522,812,223,488 × 522,812,223,488
  4. Step 4: Simplify right side
    257,731,662,240x = 273,332,621,028,466,442,108,928
  5. Step 5: Solve for x
    x = 273,332,621,028,466,442,108,928/257,731,662,240
  6. Step 6: Final answer
    x = 1,060,531,789,741.61

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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.