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Finding the Third Proportional to 314,633,736 and 476,320,351.50

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Solution

The third proportional to 314,633,736 and 476,320,351.50 is: 721,095,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,633,736 : 476,320,351.50 = 476,320,351.50 : x
  2. Step 2: Convert to fraction form
    314,633,736/476,320,351.50 = 476,320,351.50/x
  3. Step 3: Cross multiply
    314,633,736x = 476,320,351.50 × 476,320,351.50
  4. Step 4: Simplify right side
    314,633,736x = 226,881,077,253,083,552
  5. Step 5: Solve for x
    x = 226,881,077,253,083,552/314,633,736
  6. Step 6: Final answer
    x = 721,095,837.14

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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.