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Finding the Third Proportional to 127,347,714,266 and 272,584,756,108

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Solution

The third proportional to 127,347,714,266 and 272,584,756,108 is: 583,461,192,772.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,347,714,266 : 272,584,756,108 = 272,584,756,108 : x
  2. Step 2: Convert to fraction form
    127,347,714,266/272,584,756,108 = 272,584,756,108/x
  3. Step 3: Cross multiply
    127,347,714,266x = 272,584,756,108 × 272,584,756,108
  4. Step 4: Simplify right side
    127,347,714,266x = 74,302,449,262,457,845,186,560
  5. Step 5: Solve for x
    x = 74,302,449,262,457,845,186,560/127,347,714,266
  6. Step 6: Final answer
    x = 583,461,192,772.23

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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.