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Finding the Third Proportional to 39,115,783 and 84,963,044

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Solution

The third proportional to 39,115,783 and 84,963,044 is: 184,547,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,115,783 : 84,963,044 = 84,963,044 : x
  2. Step 2: Convert to fraction form
    39,115,783/84,963,044 = 84,963,044/x
  3. Step 3: Cross multiply
    39,115,783x = 84,963,044 × 84,963,044
  4. Step 4: Simplify right side
    39,115,783x = 7,218,718,845,745,936
  5. Step 5: Solve for x
    x = 7,218,718,845,745,936/39,115,783
  6. Step 6: Final answer
    x = 184,547,471.43

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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.