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Finding the Third Proportional to 7,576,703,238,152 and 17,679,585,164,180

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Solution

The third proportional to 7,576,703,238,152 and 17,679,585,164,180 is: 41,253,790,963,275.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576,703,238,152 : 17,679,585,164,180 = 17,679,585,164,180 : x
  2. Step 2: Convert to fraction form
    7,576,703,238,152/17,679,585,164,180 = 17,679,585,164,180/x
  3. Step 3: Cross multiply
    7,576,703,238,152x = 17,679,585,164,180 × 17,679,585,164,180
  4. Step 4: Simplify right side
    7,576,703,238,152x = 312,567,731,577,493,557,604,253,696
  5. Step 5: Solve for x
    x = 312,567,731,577,493,557,604,253,696/7,576,703,238,152
  6. Step 6: Final answer
    x = 41,253,790,963,275.28

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.