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Finding the Third Proportional to 6,834,853 and 14,553,146

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Solution

The third proportional to 6,834,853 and 14,553,146 is: 30,987,361.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834,853 : 14,553,146 = 14,553,146 : x
  2. Step 2: Convert to fraction form
    6,834,853/14,553,146 = 14,553,146/x
  3. Step 3: Cross multiply
    6,834,853x = 14,553,146 × 14,553,146
  4. Step 4: Simplify right side
    6,834,853x = 211,794,058,497,316
  5. Step 5: Solve for x
    x = 211,794,058,497,316/6,834,853
  6. Step 6: Final answer
    x = 30,987,361.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.