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Finding the Third Proportional to 6,656,266,130,488 and 14,314,277,424,784

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Solution

The third proportional to 6,656,266,130,488 and 14,314,277,424,784 is: 30,782,804,379,646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656,266,130,488 : 14,314,277,424,784 = 14,314,277,424,784 : x
  2. Step 2: Convert to fraction form
    6,656,266,130,488/14,314,277,424,784 = 14,314,277,424,784/x
  3. Step 3: Cross multiply
    6,656,266,130,488x = 14,314,277,424,784 × 14,314,277,424,784
  4. Step 4: Simplify right side
    6,656,266,130,488x = 204,898,538,193,680,858,699,792,384
  5. Step 5: Solve for x
    x = 204,898,538,193,680,858,699,792,384/6,656,266,130,488
  6. Step 6: Final answer
    x = 30,782,804,379,646.83

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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.