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Finding the Third Proportional to 127,347,714,235 and 272,584,756,045

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Solution

The third proportional to 127,347,714,235 and 272,584,756,045 is: 583,461,192,644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,347,714,235 : 272,584,756,045 = 272,584,756,045 : x
  2. Step 2: Convert to fraction form
    127,347,714,235/272,584,756,045 = 272,584,756,045/x
  3. Step 3: Cross multiply
    127,347,714,235x = 272,584,756,045 × 272,584,756,045
  4. Step 4: Simplify right side
    127,347,714,235x = 74,302,449,228,112,166,125,568
  5. Step 5: Solve for x
    x = 74,302,449,228,112,166,125,568/127,347,714,235
  6. Step 6: Final answer
    x = 583,461,192,644.56

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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.