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Finding the Third Proportional to 9,731,561.06 and 13,688,662.22

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Solution

The third proportional to 9,731,561.06 and 13,688,662.22 is: 19,254,821.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731,561.06 : 13,688,662.22 = 13,688,662.22 : x
  2. Step 2: Convert to fraction form
    9,731,561.06/13,688,662.22 = 13,688,662.22/x
  3. Step 3: Cross multiply
    9,731,561.06x = 13,688,662.22 × 13,688,662.22
  4. Step 4: Simplify right side
    9,731,561.06x = 187,379,473,339,033.69
  5. Step 5: Solve for x
    x = 187,379,473,339,033.69/9,731,561.06
  6. Step 6: Final answer
    x = 19,254,821.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.