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Finding the Third Proportional to 179,014,736 and 385,574,736

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Solution

The third proportional to 179,014,736 and 385,574,736 is: 830,478,430.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,014,736 : 385,574,736 = 385,574,736 : x
  2. Step 2: Convert to fraction form
    179,014,736/385,574,736 = 385,574,736/x
  3. Step 3: Cross multiply
    179,014,736x = 385,574,736 × 385,574,736
  4. Step 4: Simplify right side
    179,014,736x = 148,667,877,041,469,696
  5. Step 5: Solve for x
    x = 148,667,877,041,469,696/179,014,736
  6. Step 6: Final answer
    x = 830,478,430.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.