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Finding the Third Proportional to 4,641,630.75 and 6,971,214.38

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Solution

The third proportional to 4,641,630.75 and 6,971,214.38 is: 10,469,990.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641,630.75 : 6,971,214.38 = 6,971,214.38 : x
  2. Step 2: Convert to fraction form
    4,641,630.75/6,971,214.38 = 6,971,214.38/x
  3. Step 3: Cross multiply
    4,641,630.75x = 6,971,214.38 × 6,971,214.38
  4. Step 4: Simplify right side
    4,641,630.75x = 48,597,829,862,206.64
  5. Step 5: Solve for x
    x = 48,597,829,862,206.64/4,641,630.75
  6. Step 6: Final answer
    x = 10,469,990.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.