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Finding the Third Proportional to 39,676,963,603.50 and 85,665,669,903

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Solution

The third proportional to 39,676,963,603.50 and 85,665,669,903 is: 184,958,886,301.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,676,963,603.50 : 85,665,669,903 = 85,665,669,903 : x
  2. Step 2: Convert to fraction form
    39,676,963,603.50/85,665,669,903 = 85,665,669,903/x
  3. Step 3: Cross multiply
    39,676,963,603.50x = 85,665,669,903 × 85,665,669,903
  4. Step 4: Simplify right side
    39,676,963,603.50x = 7,338,606,999,929,759,989,760
  5. Step 5: Solve for x
    x = 7,338,606,999,929,759,989,760/39,676,963,603.50
  6. Step 6: Final answer
    x = 184,958,886,301.53

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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.