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Finding the Third Proportional to 180,198,242,892 and 272,616,572,376

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Solution

The third proportional to 180,198,242,892 and 272,616,572,376 is: 412,433,519,557.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,198,242,892 : 272,616,572,376 = 272,616,572,376 : x
  2. Step 2: Convert to fraction form
    180,198,242,892/272,616,572,376 = 272,616,572,376/x
  3. Step 3: Cross multiply
    180,198,242,892x = 272,616,572,376 × 272,616,572,376
  4. Step 4: Simplify right side
    180,198,242,892x = 74,319,795,534,038,845,882,368
  5. Step 5: Solve for x
    x = 74,319,795,534,038,845,882,368/180,198,242,892
  6. Step 6: Final answer
    x = 412,433,519,557.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.