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Finding the Third Proportional to 6,656,266,130,404 and 14,314,277,424,614

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Solution

The third proportional to 6,656,266,130,404 and 14,314,277,424,614 is: 30,782,804,379,304.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656,266,130,404 : 14,314,277,424,614 = 14,314,277,424,614 : x
  2. Step 2: Convert to fraction form
    6,656,266,130,404/14,314,277,424,614 = 14,314,277,424,614/x
  3. Step 3: Cross multiply
    6,656,266,130,404x = 14,314,277,424,614 × 14,314,277,424,614
  4. Step 4: Simplify right side
    6,656,266,130,404x = 204,898,538,188,814,007,918,395,392
  5. Step 5: Solve for x
    x = 204,898,538,188,814,007,918,395,392/6,656,266,130,404
  6. Step 6: Final answer
    x = 30,782,804,379,304.13

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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.