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Finding the Third Proportional to 5,930,729 and 12,948,946

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Solution

The third proportional to 5,930,729 and 12,948,946 is: 28,272,275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930,729 : 12,948,946 = 12,948,946 : x
  2. Step 2: Convert to fraction form
    5,930,729/12,948,946 = 12,948,946/x
  3. Step 3: Cross multiply
    5,930,729x = 12,948,946 × 12,948,946
  4. Step 4: Simplify right side
    5,930,729x = 167,675,202,510,916
  5. Step 5: Solve for x
    x = 167,675,202,510,916/5,930,729
  6. Step 6: Final answer
    x = 28,272,275.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.