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Finding the Third Proportional to 39,115,844 and 84,963,160

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Solution

The third proportional to 39,115,844 and 84,963,160 is: 184,547,687.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,115,844 : 84,963,160 = 84,963,160 : x
  2. Step 2: Convert to fraction form
    39,115,844/84,963,160 = 84,963,160/x
  3. Step 3: Cross multiply
    39,115,844x = 84,963,160 × 84,963,160
  4. Step 4: Simplify right side
    39,115,844x = 7,218,738,557,185,600
  5. Step 5: Solve for x
    x = 7,218,738,557,185,600/39,115,844
  6. Step 6: Final answer
    x = 184,547,687.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.