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Finding the Third Proportional to 4,146,716 and 6,771,210

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Solution

The third proportional to 4,146,716 and 6,771,210 is: 11,056,769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146,716 : 6,771,210 = 6,771,210 : x
  2. Step 2: Convert to fraction form
    4,146,716/6,771,210 = 6,771,210/x
  3. Step 3: Cross multiply
    4,146,716x = 6,771,210 × 6,771,210
  4. Step 4: Simplify right side
    4,146,716x = 45,849,284,864,100
  5. Step 5: Solve for x
    x = 45,849,284,864,100/4,146,716
  6. Step 6: Final answer
    x = 11,056,769.95

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.