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Finding the Third Proportional to 57,485,840,913.50 and 125,808,605,326

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Solution

The third proportional to 57,485,840,913.50 and 125,808,605,326 is: 275,333,976,550.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,485,840,913.50 : 125,808,605,326 = 125,808,605,326 : x
  2. Step 2: Convert to fraction form
    57,485,840,913.50/125,808,605,326 = 125,808,605,326/x
  3. Step 3: Cross multiply
    57,485,840,913.50x = 125,808,605,326 × 125,808,605,326
  4. Step 4: Simplify right side
    57,485,840,913.50x = 15,827,805,174,073,235,865,600
  5. Step 5: Solve for x
    x = 15,827,805,174,073,235,865,600/57,485,840,913.50
  6. Step 6: Final answer
    x = 275,333,976,550.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.