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Finding the Third Proportional to 10,676,746 and 16,546,006.50

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Solution

The third proportional to 10,676,746 and 16,546,006.50 is: 25,641,738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676,746 : 16,546,006.50 = 16,546,006.50 : x
  2. Step 2: Convert to fraction form
    10,676,746/16,546,006.50 = 16,546,006.50/x
  3. Step 3: Cross multiply
    10,676,746x = 16,546,006.50 × 16,546,006.50
  4. Step 4: Simplify right side
    10,676,746x = 273,770,331,098,042.25
  5. Step 5: Solve for x
    x = 273,770,331,098,042.25/10,676,746
  6. Step 6: Final answer
    x = 25,641,738.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.