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Finding the Third Proportional to 302,859,018,064 and 654,074,290,976

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Solution

The third proportional to 302,859,018,064 and 654,074,290,976 is: 1,412,581,936,144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,859,018,064 : 654,074,290,976 = 654,074,290,976 : x
  2. Step 2: Convert to fraction form
    302,859,018,064/654,074,290,976 = 654,074,290,976/x
  3. Step 3: Cross multiply
    302,859,018,064x = 654,074,290,976 × 654,074,290,976
  4. Step 4: Simplify right side
    302,859,018,064x = 427,813,178,115,757,094,993,920
  5. Step 5: Solve for x
    x = 427,813,178,115,757,094,993,920/302,859,018,064
  6. Step 6: Final answer
    x = 1,412,581,936,144.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.