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Finding the Third Proportional to 4,600,478.25 and 6,965,193.38

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Solution

The third proportional to 4,600,478.25 and 6,965,193.38 is: 10,545,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600,478.25 : 6,965,193.38 = 6,965,193.38 : x
  2. Step 2: Convert to fraction form
    4,600,478.25/6,965,193.38 = 6,965,193.38/x
  3. Step 3: Cross multiply
    4,600,478.25x = 6,965,193.38 × 6,965,193.38
  4. Step 4: Simplify right side
    4,600,478.25x = 48,513,918,751,143.89
  5. Step 5: Solve for x
    x = 48,513,918,751,143.89/4,600,478.25
  6. Step 6: Final answer
    x = 10,545,407.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.