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Finding the Third Proportional to 6,343,501.50 and 9,529,303.50

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Solution

The third proportional to 6,343,501.50 and 9,529,303.50 is: 14,315,063.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343,501.50 : 9,529,303.50 = 9,529,303.50 : x
  2. Step 2: Convert to fraction form
    6,343,501.50/9,529,303.50 = 9,529,303.50/x
  3. Step 3: Cross multiply
    6,343,501.50x = 9,529,303.50 × 9,529,303.50
  4. Step 4: Simplify right side
    6,343,501.50x = 90,807,625,195,112.25
  5. Step 5: Solve for x
    x = 90,807,625,195,112.25/6,343,501.50
  6. Step 6: Final answer
    x = 14,315,063.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.