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Finding the Third Proportional to 10,661,494.50 and 15,194,769

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Solution

The third proportional to 10,661,494.50 and 15,194,769 is: 21,655,594.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661,494.50 : 15,194,769 = 15,194,769 : x
  2. Step 2: Convert to fraction form
    10,661,494.50/15,194,769 = 15,194,769/x
  3. Step 3: Cross multiply
    10,661,494.50x = 15,194,769 × 15,194,769
  4. Step 4: Simplify right side
    10,661,494.50x = 230,881,004,963,361
  5. Step 5: Solve for x
    x = 230,881,004,963,361/10,661,494.50
  6. Step 6: Final answer
    x = 21,655,594.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.