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Finding the Third Proportional to 6,337,698 and 13,685,412

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Solution

The third proportional to 6,337,698 and 13,685,412 is: 29,551,818.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337,698 : 13,685,412 = 13,685,412 : x
  2. Step 2: Convert to fraction form
    6,337,698/13,685,412 = 13,685,412/x
  3. Step 3: Cross multiply
    6,337,698x = 13,685,412 × 13,685,412
  4. Step 4: Simplify right side
    6,337,698x = 187,290,501,609,744
  5. Step 5: Solve for x
    x = 187,290,501,609,744/6,337,698
  6. Step 6: Final answer
    x = 29,551,818.60

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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.