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Finding the Third Proportional to 282,094,416 and 427,407,984

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Solution

The third proportional to 282,094,416 and 427,407,984 is: 647,576,039.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,094,416 : 427,407,984 = 427,407,984 : x
  2. Step 2: Convert to fraction form
    282,094,416/427,407,984 = 427,407,984/x
  3. Step 3: Cross multiply
    282,094,416x = 427,407,984 × 427,407,984
  4. Step 4: Simplify right side
    282,094,416x = 182,677,584,786,944,256
  5. Step 5: Solve for x
    x = 182,677,584,786,944,256/282,094,416
  6. Step 6: Final answer
    x = 647,576,039.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.