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Finding the Third Proportional to 6,691,262 and 14,245,658

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Solution

The third proportional to 6,691,262 and 14,245,658 is: 30,328,923.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691,262 : 14,245,658 = 14,245,658 : x
  2. Step 2: Convert to fraction form
    6,691,262/14,245,658 = 14,245,658/x
  3. Step 3: Cross multiply
    6,691,262x = 14,245,658 × 14,245,658
  4. Step 4: Simplify right side
    6,691,262x = 202,938,771,852,964
  5. Step 5: Solve for x
    x = 202,938,771,852,964/6,691,262
  6. Step 6: Final answer
    x = 30,328,923.28

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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.