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Finding the Third Proportional to 6,656,266,130,368 and 14,314,277,424,544

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Solution

The third proportional to 6,656,266,130,368 and 14,314,277,424,544 is: 30,782,804,379,169.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656,266,130,368 : 14,314,277,424,544 = 14,314,277,424,544 : x
  2. Step 2: Convert to fraction form
    6,656,266,130,368/14,314,277,424,544 = 14,314,277,424,544/x
  3. Step 3: Cross multiply
    6,656,266,130,368x = 14,314,277,424,544 × 14,314,277,424,544
  4. Step 4: Simplify right side
    6,656,266,130,368x = 204,898,538,186,810,010,537,820,160
  5. Step 5: Solve for x
    x = 204,898,538,186,810,010,537,820,160/6,656,266,130,368
  6. Step 6: Final answer
    x = 30,782,804,379,169.55

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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.