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Finding the Third Proportional to 35,426,754,845 and 78,074,610,605

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Solution

The third proportional to 35,426,754,845 and 78,074,610,605 is: 172,063,313,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,426,754,845 : 78,074,610,605 = 78,074,610,605 : x
  2. Step 2: Convert to fraction form
    35,426,754,845/78,074,610,605 = 78,074,610,605/x
  3. Step 3: Cross multiply
    35,426,754,845x = 78,074,610,605 × 78,074,610,605
  4. Step 4: Simplify right side
    35,426,754,845x = 6,095,644,821,122,378,104,832
  5. Step 5: Solve for x
    x = 6,095,644,821,122,378,104,832/35,426,754,845
  6. Step 6: Final answer
    x = 172,063,313,385.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.