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Finding the Third Proportional to 14,546,008.50 and 21,778,947

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Solution

The third proportional to 14,546,008.50 and 21,778,947 is: 32,608,432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,546,008.50 : 21,778,947 = 21,778,947 : x
  2. Step 2: Convert to fraction form
    14,546,008.50/21,778,947 = 21,778,947/x
  3. Step 3: Cross multiply
    14,546,008.50x = 21,778,947 × 21,778,947
  4. Step 4: Simplify right side
    14,546,008.50x = 474,322,532,428,809
  5. Step 5: Solve for x
    x = 474,322,532,428,809/14,546,008.50
  6. Step 6: Final answer
    x = 32,608,432.23

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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.