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Finding the Third Proportional to 277,078,196.81 and 602,383,388.63

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Solution

The third proportional to 277,078,196.81 and 602,383,388.63 is: 1,309,614,942.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,078,196.81 : 602,383,388.63 = 602,383,388.63 : x
  2. Step 2: Convert to fraction form
    277,078,196.81/602,383,388.63 = 602,383,388.63/x
  3. Step 3: Cross multiply
    277,078,196.81x = 602,383,388.63 × 602,383,388.63
  4. Step 4: Simplify right side
    277,078,196.81x = 362,865,746,891,337,792
  5. Step 5: Solve for x
    x = 362,865,746,891,337,792/277,078,196.81
  6. Step 6: Final answer
    x = 1,309,614,942.88

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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.