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Finding the Third Proportional to 6,656,266,130,352 and 14,314,277,424,512

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Solution

The third proportional to 6,656,266,130,352 and 14,314,277,424,512 is: 30,782,804,379,105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656,266,130,352 : 14,314,277,424,512 = 14,314,277,424,512 : x
  2. Step 2: Convert to fraction form
    6,656,266,130,352/14,314,277,424,512 = 14,314,277,424,512/x
  3. Step 3: Cross multiply
    6,656,266,130,352x = 14,314,277,424,512 × 14,314,277,424,512
  4. Step 4: Simplify right side
    6,656,266,130,352x = 204,898,538,185,893,911,193,452,544
  5. Step 5: Solve for x
    x = 204,898,538,185,893,911,193,452,544/6,656,266,130,352
  6. Step 6: Final answer
    x = 30,782,804,379,105.91

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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.