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Finding the Third Proportional to 700,942,626 and 1,495,702,813.50

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Solution

The third proportional to 700,942,626 and 1,495,702,813.50 is: 3,191,597,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,942,626 : 1,495,702,813.50 = 1,495,702,813.50 : x
  2. Step 2: Convert to fraction form
    700,942,626/1,495,702,813.50 = 1,495,702,813.50/x
  3. Step 3: Cross multiply
    700,942,626x = 1,495,702,813.50 × 1,495,702,813.50
  4. Step 4: Simplify right side
    700,942,626x = 2,237,126,906,311,815,680
  5. Step 5: Solve for x
    x = 2,237,126,906,311,815,680/700,942,626
  6. Step 6: Final answer
    x = 3,191,597,747.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.