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Finding the Third Proportional to 6,934,746 and 11,044,274

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Solution

The third proportional to 6,934,746 and 11,044,274 is: 17,589,106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934,746 : 11,044,274 = 11,044,274 : x
  2. Step 2: Convert to fraction form
    6,934,746/11,044,274 = 11,044,274/x
  3. Step 3: Cross multiply
    6,934,746x = 11,044,274 × 11,044,274
  4. Step 4: Simplify right side
    6,934,746x = 121,975,988,187,076
  5. Step 5: Solve for x
    x = 121,975,988,187,076/6,934,746
  6. Step 6: Final answer
    x = 17,589,106.82

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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.