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Finding the Third Proportional to 6,656,266,130,446 and 14,314,277,424,698

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Solution

The third proportional to 6,656,266,130,446 and 14,314,277,424,698 is: 30,782,804,379,471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656,266,130,446 : 14,314,277,424,698 = 14,314,277,424,698 : x
  2. Step 2: Convert to fraction form
    6,656,266,130,446/14,314,277,424,698 = 14,314,277,424,698/x
  3. Step 3: Cross multiply
    6,656,266,130,446x = 14,314,277,424,698 × 14,314,277,424,698
  4. Step 4: Simplify right side
    6,656,266,130,446x = 204,898,538,191,218,811,647,033,344
  5. Step 5: Solve for x
    x = 204,898,538,191,218,811,647,033,344/6,656,266,130,446
  6. Step 6: Final answer
    x = 30,782,804,379,471.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.