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Finding the Third Proportional to 127,884,644 and 277,275,868

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Solution

The third proportional to 127,884,644 and 277,275,868 is: 601,181,694.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,884,644 : 277,275,868 = 277,275,868 : x
  2. Step 2: Convert to fraction form
    127,884,644/277,275,868 = 277,275,868/x
  3. Step 3: Cross multiply
    127,884,644x = 277,275,868 × 277,275,868
  4. Step 4: Simplify right side
    127,884,644x = 76,881,906,975,153,424
  5. Step 5: Solve for x
    x = 76,881,906,975,153,424/127,884,644
  6. Step 6: Final answer
    x = 601,181,694.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.