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Finding the Third Proportional to 127,857,854 and 276,145,510

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Solution

The third proportional to 127,857,854 and 276,145,510 is: 596,415,005.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,857,854 : 276,145,510 = 276,145,510 : x
  2. Step 2: Convert to fraction form
    127,857,854/276,145,510 = 276,145,510/x
  3. Step 3: Cross multiply
    127,857,854x = 276,145,510 × 276,145,510
  4. Step 4: Simplify right side
    127,857,854x = 76,256,342,693,160,096
  5. Step 5: Solve for x
    x = 76,256,342,693,160,096/127,857,854
  6. Step 6: Final answer
    x = 596,415,005.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.