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Finding the Third Proportional to 303,136,865,608 and 652,250,034,482

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Solution

The third proportional to 303,136,865,608 and 652,250,034,482 is: 1,403,425,830,865.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,136,865,608 : 652,250,034,482 = 652,250,034,482 : x
  2. Step 2: Convert to fraction form
    303,136,865,608/652,250,034,482 = 652,250,034,482/x
  3. Step 3: Cross multiply
    303,136,865,608x = 652,250,034,482 × 652,250,034,482
  4. Step 4: Simplify right side
    303,136,865,608x = 425,430,107,481,770,163,175,424
  5. Step 5: Solve for x
    x = 425,430,107,481,770,163,175,424/303,136,865,608
  6. Step 6: Final answer
    x = 1,403,425,830,865.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.