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Finding the Third Proportional to 303,136,865,584 and 652,250,034,438

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Solution

The third proportional to 303,136,865,584 and 652,250,034,438 is: 1,403,425,830,786.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,136,865,584 : 652,250,034,438 = 652,250,034,438 : x
  2. Step 2: Convert to fraction form
    303,136,865,584/652,250,034,438 = 652,250,034,438/x
  3. Step 3: Cross multiply
    303,136,865,584x = 652,250,034,438 × 652,250,034,438
  4. Step 4: Simplify right side
    303,136,865,584x = 425,430,107,424,372,153,122,816
  5. Step 5: Solve for x
    x = 425,430,107,424,372,153,122,816/303,136,865,584
  6. Step 6: Final answer
    x = 1,403,425,830,786.93

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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.