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Finding the Third Proportional to 35,891,456,922 and 78,537,489,642

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Solution

The third proportional to 35,891,456,922 and 78,537,489,642 is: 171,855,305,084.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,891,456,922 : 78,537,489,642 = 78,537,489,642 : x
  2. Step 2: Convert to fraction form
    35,891,456,922/78,537,489,642 = 78,537,489,642/x
  3. Step 3: Cross multiply
    35,891,456,922x = 78,537,489,642 × 78,537,489,642
  4. Step 4: Simplify right side
    35,891,456,922x = 6,168,137,279,267,256,926,208
  5. Step 5: Solve for x
    x = 6,168,137,279,267,256,926,208/35,891,456,922
  6. Step 6: Final answer
    x = 171,855,305,084.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.