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Finding the Third Proportional to 6,656,266,130,370 and 14,314,277,424,546

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Solution

The third proportional to 6,656,266,130,370 and 14,314,277,424,546 is: 30,782,804,379,168.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656,266,130,370 : 14,314,277,424,546 = 14,314,277,424,546 : x
  2. Step 2: Convert to fraction form
    6,656,266,130,370/14,314,277,424,546 = 14,314,277,424,546/x
  3. Step 3: Cross multiply
    6,656,266,130,370x = 14,314,277,424,546 × 14,314,277,424,546
  4. Step 4: Simplify right side
    6,656,266,130,370x = 204,898,538,186,867,253,861,941,248
  5. Step 5: Solve for x
    x = 204,898,538,186,867,253,861,941,248/6,656,266,130,370
  6. Step 6: Final answer
    x = 30,782,804,379,168.90

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