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Finding the Third Proportional to 5,683,516,379,072 and 12,272,886,699,712

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Solution

The third proportional to 5,683,516,379,072 and 12,272,886,699,712 is: 26,501,858,690,616.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683,516,379,072 : 12,272,886,699,712 = 12,272,886,699,712 : x
  2. Step 2: Convert to fraction form
    5,683,516,379,072/12,272,886,699,712 = 12,272,886,699,712/x
  3. Step 3: Cross multiply
    5,683,516,379,072x = 12,272,886,699,712 × 12,272,886,699,712
  4. Step 4: Simplify right side
    5,683,516,379,072x = 150,623,747,943,967,709,728,866,304
  5. Step 5: Solve for x
    x = 150,623,747,943,967,709,728,866,304/5,683,516,379,072
  6. Step 6: Final answer
    x = 26,501,858,690,616.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.