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Finding the Third Proportional to 249,438,786,880 and 582,043,951,624

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Solution

The third proportional to 249,438,786,880 and 582,043,951,624 is: 1,358,149,491,743.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,438,786,880 : 582,043,951,624 = 582,043,951,624 : x
  2. Step 2: Convert to fraction form
    249,438,786,880/582,043,951,624 = 582,043,951,624/x
  3. Step 3: Cross multiply
    249,438,786,880x = 582,043,951,624 × 582,043,951,624
  4. Step 4: Simplify right side
    249,438,786,880x = 338,775,161,622,081,254,195,200
  5. Step 5: Solve for x
    x = 338,775,161,622,081,254,195,200/249,438,786,880
  6. Step 6: Final answer
    x = 1,358,149,491,743.08

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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.