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Finding the Third Proportional to 560,091,707.25 and 809,166,123.75

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Solution

The third proportional to 560,091,707.25 and 809,166,123.75 is: 1,169,004,660.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,091,707.25 : 809,166,123.75 = 809,166,123.75 : x
  2. Step 2: Convert to fraction form
    560,091,707.25/809,166,123.75 = 809,166,123.75/x
  3. Step 3: Cross multiply
    560,091,707.25x = 809,166,123.75 × 809,166,123.75
  4. Step 4: Simplify right side
    560,091,707.25x = 654,749,815,824,600,320
  5. Step 5: Solve for x
    x = 654,749,815,824,600,320/560,091,707.25
  6. Step 6: Final answer
    x = 1,169,004,660.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.