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Finding the Third Proportional to 3,006,151 and 6,437,946

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Solution

The third proportional to 3,006,151 and 6,437,946 is: 13,787,447.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006,151 : 6,437,946 = 6,437,946 : x
  2. Step 2: Convert to fraction form
    3,006,151/6,437,946 = 6,437,946/x
  3. Step 3: Cross multiply
    3,006,151x = 6,437,946 × 6,437,946
  4. Step 4: Simplify right side
    3,006,151x = 41,447,148,698,916
  5. Step 5: Solve for x
    x = 41,447,148,698,916/3,006,151
  6. Step 6: Final answer
    x = 13,787,447.37

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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.