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Finding the Third Proportional to 179,472,010,700 and 387,599,579,828

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Solution

The third proportional to 179,472,010,700 and 387,599,579,828 is: 837,085,591,769.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,472,010,700 : 387,599,579,828 = 387,599,579,828 : x
  2. Step 2: Convert to fraction form
    179,472,010,700/387,599,579,828 = 387,599,579,828/x
  3. Step 3: Cross multiply
    179,472,010,700x = 387,599,579,828 × 387,599,579,828
  4. Step 4: Simplify right side
    179,472,010,700x = 150,233,434,282,842,147,258,368
  5. Step 5: Solve for x
    x = 150,233,434,282,842,147,258,368/179,472,010,700
  6. Step 6: Final answer
    x = 837,085,591,769.34

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