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Finding the Third Proportional to 60,667,674.75 and 129,838,405.50

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Solution

The third proportional to 60,667,674.75 and 129,838,405.50 is: 277,874,693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,667,674.75 : 129,838,405.50 = 129,838,405.50 : x
  2. Step 2: Convert to fraction form
    60,667,674.75/129,838,405.50 = 129,838,405.50/x
  3. Step 3: Cross multiply
    60,667,674.75x = 129,838,405.50 × 129,838,405.50
  4. Step 4: Simplify right side
    60,667,674.75x = 16,858,011,542,782,430
  5. Step 5: Solve for x
    x = 16,858,011,542,782,430/60,667,674.75
  6. Step 6: Final answer
    x = 277,874,693.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.