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Finding the Third Proportional to 127,347,714,264 and 272,584,756,104

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Solution

The third proportional to 127,347,714,264 and 272,584,756,104 is: 583,461,192,764.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,347,714,264 : 272,584,756,104 = 272,584,756,104 : x
  2. Step 2: Convert to fraction form
    127,347,714,264/272,584,756,104 = 272,584,756,104/x
  3. Step 3: Cross multiply
    127,347,714,264x = 272,584,756,104 × 272,584,756,104
  4. Step 4: Simplify right side
    127,347,714,264x = 74,302,449,260,277,167,816,704
  5. Step 5: Solve for x
    x = 74,302,449,260,277,167,816,704/127,347,714,264
  6. Step 6: Final answer
    x = 583,461,192,764.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.