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Finding the Third Proportional to 6,945,663.50 and 7,776,039.50

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Solution

The third proportional to 6,945,663.50 and 7,776,039.50 is: 8,705,689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945,663.50 : 7,776,039.50 = 7,776,039.50 : x
  2. Step 2: Convert to fraction form
    6,945,663.50/7,776,039.50 = 7,776,039.50/x
  3. Step 3: Cross multiply
    6,945,663.50x = 7,776,039.50 × 7,776,039.50
  4. Step 4: Simplify right side
    6,945,663.50x = 60,466,790,305,560.25
  5. Step 5: Solve for x
    x = 60,466,790,305,560.25/6,945,663.50
  6. Step 6: Final answer
    x = 8,705,689.57

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.