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Finding the Third Proportional to 6,656,266,130,482 and 14,314,277,424,772

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Solution

The third proportional to 6,656,266,130,482 and 14,314,277,424,772 is: 30,782,804,379,622.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656,266,130,482 : 14,314,277,424,772 = 14,314,277,424,772 : x
  2. Step 2: Convert to fraction form
    6,656,266,130,482/14,314,277,424,772 = 14,314,277,424,772/x
  3. Step 3: Cross multiply
    6,656,266,130,482x = 14,314,277,424,772 × 14,314,277,424,772
  4. Step 4: Simplify right side
    6,656,266,130,482x = 204,898,538,193,337,330,035,589,120
  5. Step 5: Solve for x
    x = 204,898,538,193,337,330,035,589,120/6,656,266,130,482
  6. Step 6: Final answer
    x = 30,782,804,379,622.97

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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.