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Finding the Third Proportional to 46,557,029 and 109,747,863

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Solution

The third proportional to 46,557,029 and 109,747,863 is: 258,706,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,557,029 : 109,747,863 = 109,747,863 : x
  2. Step 2: Convert to fraction form
    46,557,029/109,747,863 = 109,747,863/x
  3. Step 3: Cross multiply
    46,557,029x = 109,747,863 × 109,747,863
  4. Step 4: Simplify right side
    46,557,029x = 12,044,593,433,066,768
  5. Step 5: Solve for x
    x = 12,044,593,433,066,768/46,557,029
  6. Step 6: Final answer
    x = 258,706,229.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.