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Finding the Third Proportional to 6,841,616 and 14,767,984

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Solution

The third proportional to 6,841,616 and 14,767,984 is: 31,877,461.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841,616 : 14,767,984 = 14,767,984 : x
  2. Step 2: Convert to fraction form
    6,841,616/14,767,984 = 14,767,984/x
  3. Step 3: Cross multiply
    6,841,616x = 14,767,984 × 14,767,984
  4. Step 4: Simplify right side
    6,841,616x = 218,093,351,424,256
  5. Step 5: Solve for x
    x = 218,093,351,424,256/6,841,616
  6. Step 6: Final answer
    x = 31,877,461.61

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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.