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Finding the Third Proportional to 46,557,010 and 109,747,799

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Solution

The third proportional to 46,557,010 and 109,747,799 is: 258,706,033.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,557,010 : 109,747,799 = 109,747,799 : x
  2. Step 2: Convert to fraction form
    46,557,010/109,747,799 = 109,747,799/x
  3. Step 3: Cross multiply
    46,557,010x = 109,747,799 × 109,747,799
  4. Step 4: Simplify right side
    46,557,010x = 12,044,579,385,344,400
  5. Step 5: Solve for x
    x = 12,044,579,385,344,400/46,557,010
  6. Step 6: Final answer
    x = 258,706,033.43

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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.