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Finding the Third Proportional to 462,213,702 and 718,004,169

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Solution

The third proportional to 462,213,702 and 718,004,169 is: 1,115,349,857.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,213,702 : 718,004,169 = 718,004,169 : x
  2. Step 2: Convert to fraction form
    462,213,702/718,004,169 = 718,004,169/x
  3. Step 3: Cross multiply
    462,213,702x = 718,004,169 × 718,004,169
  4. Step 4: Simplify right side
    462,213,702x = 515,529,986,701,380,544
  5. Step 5: Solve for x
    x = 515,529,986,701,380,544/462,213,702
  6. Step 6: Final answer
    x = 1,115,349,857.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.