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Finding the Third Proportional to 437,131,106 and 713,720,189

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Solution

The third proportional to 437,131,106 and 713,720,189 is: 1,165,317,455.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,131,106 : 713,720,189 = 713,720,189 : x
  2. Step 2: Convert to fraction form
    437,131,106/713,720,189 = 713,720,189/x
  3. Step 3: Cross multiply
    437,131,106x = 713,720,189 × 713,720,189
  4. Step 4: Simplify right side
    437,131,106x = 509,396,508,186,195,712
  5. Step 5: Solve for x
    x = 509,396,508,186,195,712/437,131,106
  6. Step 6: Final answer
    x = 1,165,317,455.55

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.