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Finding the Third Proportional to 6,786,676 and 14,636,048

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Solution

The third proportional to 6,786,676 and 14,636,048 is: 31,563,890.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786,676 : 14,636,048 = 14,636,048 : x
  2. Step 2: Convert to fraction form
    6,786,676/14,636,048 = 14,636,048/x
  3. Step 3: Cross multiply
    6,786,676x = 14,636,048 × 14,636,048
  4. Step 4: Simplify right side
    6,786,676x = 214,213,901,058,304
  5. Step 5: Solve for x
    x = 214,213,901,058,304/6,786,676
  6. Step 6: Final answer
    x = 31,563,890.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.