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Finding the Third Proportional to 6,934,747 and 11,044,278

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Solution

The third proportional to 6,934,747 and 11,044,278 is: 17,589,117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934,747 : 11,044,278 = 11,044,278 : x
  2. Step 2: Convert to fraction form
    6,934,747/11,044,278 = 11,044,278/x
  3. Step 3: Cross multiply
    6,934,747x = 11,044,278 × 11,044,278
  4. Step 4: Simplify right side
    6,934,747x = 121,976,076,541,284
  5. Step 5: Solve for x
    x = 121,976,076,541,284/6,934,747
  6. Step 6: Final answer
    x = 17,589,117.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.