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Finding the Third Proportional to 6,347,698 and 14,982,041

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Solution

The third proportional to 6,347,698 and 14,982,041 is: 35,361,095.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347,698 : 14,982,041 = 14,982,041 : x
  2. Step 2: Convert to fraction form
    6,347,698/14,982,041 = 14,982,041/x
  3. Step 3: Cross multiply
    6,347,698x = 14,982,041 × 14,982,041
  4. Step 4: Simplify right side
    6,347,698x = 224,461,552,525,681
  5. Step 5: Solve for x
    x = 224,461,552,525,681/6,347,698
  6. Step 6: Final answer
    x = 35,361,095.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.