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Finding the Third Proportional to 7,442,887 and 16,026,235

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Solution

The third proportional to 7,442,887 and 16,026,235 is: 34,508,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442,887 : 16,026,235 = 16,026,235 : x
  2. Step 2: Convert to fraction form
    7,442,887/16,026,235 = 16,026,235/x
  3. Step 3: Cross multiply
    7,442,887x = 16,026,235 × 16,026,235
  4. Step 4: Simplify right side
    7,442,887x = 256,840,208,275,225
  5. Step 5: Solve for x
    x = 256,840,208,275,225/7,442,887
  6. Step 6: Final answer
    x = 34,508,142.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.