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Finding the Third Proportional to 5,876,729 and 12,348,323

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Solution

The third proportional to 5,876,729 and 12,348,323 is: 25,946,590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876,729 : 12,348,323 = 12,348,323 : x
  2. Step 2: Convert to fraction form
    5,876,729/12,348,323 = 12,348,323/x
  3. Step 3: Cross multiply
    5,876,729x = 12,348,323 × 12,348,323
  4. Step 4: Simplify right side
    5,876,729x = 152,481,080,912,329
  5. Step 5: Solve for x
    x = 152,481,080,912,329/5,876,729
  6. Step 6: Final answer
    x = 25,946,590.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.