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Finding the Third Proportional to 2,931,836 and 6,365,016

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Solution

The third proportional to 2,931,836 and 6,365,016 is: 13,818,449.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931,836 : 6,365,016 = 6,365,016 : x
  2. Step 2: Convert to fraction form
    2,931,836/6,365,016 = 6,365,016/x
  3. Step 3: Cross multiply
    2,931,836x = 6,365,016 × 6,365,016
  4. Step 4: Simplify right side
    2,931,836x = 40,513,428,680,256
  5. Step 5: Solve for x
    x = 40,513,428,680,256/2,931,836
  6. Step 6: Final answer
    x = 13,818,449.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.