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Finding the Third Proportional to 127,367,880 and 272,909,736

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Solution

The third proportional to 127,367,880 and 272,909,736 is: 584,760,647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,367,880 : 272,909,736 = 272,909,736 : x
  2. Step 2: Convert to fraction form
    127,367,880/272,909,736 = 272,909,736/x
  3. Step 3: Cross multiply
    127,367,880x = 272,909,736 × 272,909,736
  4. Step 4: Simplify right side
    127,367,880x = 74,479,724,003,589,696
  5. Step 5: Solve for x
    x = 74,479,724,003,589,696/127,367,880
  6. Step 6: Final answer
    x = 584,760,647.69

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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.