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Finding the Third Proportional to 127,223,237,304 and 276,786,487,152

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Solution

The third proportional to 127,223,237,304 and 276,786,487,152 is: 602,175,837,476.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,223,237,304 : 276,786,487,152 = 276,786,487,152 : x
  2. Step 2: Convert to fraction form
    127,223,237,304/276,786,487,152 = 276,786,487,152/x
  3. Step 3: Cross multiply
    127,223,237,304x = 276,786,487,152 × 276,786,487,152
  4. Step 4: Simplify right side
    127,223,237,304x = 76,610,759,469,944,260,263,936
  5. Step 5: Solve for x
    x = 76,610,759,469,944,260,263,936/127,223,237,304
  6. Step 6: Final answer
    x = 602,175,837,476.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.