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Finding the Third Proportional to 292,418,541 and 642,225,663

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Solution

The third proportional to 292,418,541 and 642,225,663 is: 1,410,491,280.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,418,541 : 642,225,663 = 642,225,663 : x
  2. Step 2: Convert to fraction form
    292,418,541/642,225,663 = 642,225,663/x
  3. Step 3: Cross multiply
    292,418,541x = 642,225,663 × 642,225,663
  4. Step 4: Simplify right side
    292,418,541x = 412,453,802,215,789,568
  5. Step 5: Solve for x
    x = 412,453,802,215,789,568/292,418,541
  6. Step 6: Final answer
    x = 1,410,491,280.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.