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Finding the Third Proportional to 12,367,235 and 16,262,859

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Solution

The third proportional to 12,367,235 and 16,262,859 is: 21,385,587.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,367,235 : 16,262,859 = 16,262,859 : x
  2. Step 2: Convert to fraction form
    12,367,235/16,262,859 = 16,262,859/x
  3. Step 3: Cross multiply
    12,367,235x = 16,262,859 × 16,262,859
  4. Step 4: Simplify right side
    12,367,235x = 264,480,582,853,881
  5. Step 5: Solve for x
    x = 264,480,582,853,881/12,367,235
  6. Step 6: Final answer
    x = 21,385,587.23

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.