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Finding the Third Proportional to 14,743,357.50 and 23,077,581.25

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Solution

The third proportional to 14,743,357.50 and 23,077,581.25 is: 36,123,030.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,743,357.50 : 23,077,581.25 = 23,077,581.25 : x
  2. Step 2: Convert to fraction form
    14,743,357.50/23,077,581.25 = 23,077,581.25/x
  3. Step 3: Cross multiply
    14,743,357.50x = 23,077,581.25 × 23,077,581.25
  4. Step 4: Simplify right side
    14,743,357.50x = 532,574,756,350,351.56
  5. Step 5: Solve for x
    x = 532,574,756,350,351.56/14,743,357.50
  6. Step 6: Final answer
    x = 36,123,030.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.