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Finding the Third Proportional to 303,136,865,606 and 652,250,034,478

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Solution

The third proportional to 303,136,865,606 and 652,250,034,478 is: 1,403,425,830,857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,136,865,606 : 652,250,034,478 = 652,250,034,478 : x
  2. Step 2: Convert to fraction form
    303,136,865,606/652,250,034,478 = 652,250,034,478/x
  3. Step 3: Cross multiply
    303,136,865,606x = 652,250,034,478 × 652,250,034,478
  4. Step 4: Simplify right side
    303,136,865,606x = 425,430,107,476,552,180,563,968
  5. Step 5: Solve for x
    x = 425,430,107,476,552,180,563,968/303,136,865,606
  6. Step 6: Final answer
    x = 1,403,425,830,857.21

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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.