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Finding the Third Proportional to 465,915,834 and 741,722,917.50

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Solution

The third proportional to 465,915,834 and 741,722,917.50 is: 1,180,798,861.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,915,834 : 741,722,917.50 = 741,722,917.50 : x
  2. Step 2: Convert to fraction form
    465,915,834/741,722,917.50 = 741,722,917.50/x
  3. Step 3: Cross multiply
    465,915,834x = 741,722,917.50 × 741,722,917.50
  4. Step 4: Simplify right side
    465,915,834x = 550,152,886,344,711,808
  5. Step 5: Solve for x
    x = 550,152,886,344,711,808/465,915,834
  6. Step 6: Final answer
    x = 1,180,798,861.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.